300 (number)


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309 = 3 × 103, Blum integer, number of primes <= 211.[1]

312 = 23 × 3 × 13, idoneal number.[2]

314 = 2 × 157. 314 is a nontotient,[3] smallest composite number in Somos-4 sequence.[4]

315 = 32 × 5 × 7 =  , rencontres number, highly composite odd number, having 12 divisors.[5]

316 = 22 × 79, a centered triangular number[6] and a centered heptagonal number.[7]

317 is a prime number, Eisenstein prime with no imaginary part, Chen prime,[8] one of the rare primes to be both right and left-truncatable,[9] and a strictly non-palindromic number.

317 is the exponent (and number of ones) in the fourth base-10 repunit prime.[10]

319 = 11 × 29. 319 is the sum of three consecutive primes (103 + 107 + 109), Smith number,[11] cannot be represented as the sum of fewer than 19 fourth powers, happy number in base 10[12]

320 = 26 × 5 = (25) × (2 × 5). 320 is a Leyland number,[13] and maximum determinant of a 10 by 10 matrix of zeros and ones.

321 = 3 × 107, a Delannoy number[14]

322 = 2 × 7 × 23. 322 is a sphenic,[15] nontotient, untouchable,[16] and a Lucas number.[17] It is also the first unprimeable number to end in 2.

323 = 17 × 19. 323 is the sum of nine consecutive primes (19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53), the sum of the 13 consecutive primes (5 + 7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47), Motzkin number.[18] A Lucas and Fibonacci pseudoprime. See 323 (disambiguation)

324 = 22 × 34 = 182. 324 is the sum of four consecutive primes (73 + 79 + 83 + 89), totient sum of the first 32 integers, a square number,[19] and an untouchable number.[16]

325 = 52 × 13. 325 is a triangular number, hexagonal number,[20] nonagonal number,[21] centered nonagonal number.[22] 325 is the smallest number to be the sum of two squares in 3 different ways: 12 + 182, 62 + 172 and 102 + 152. 325 is also the smallest (and only known) 3-hyperperfect number.[23][24]

326 = 2 × 163. 326 is a nontotient, noncototient,[25] and an untouchable number.[16] 326 is the sum of the 14 consecutive primes (3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47), lazy caterer number[26]

327 = 3 × 109. 327 is a perfect totient number,[27] number of compositions of 10 whose run-lengths are either weakly increasing or weakly decreasing[28]

328 = 23 × 41. 328 is a refactorable number,[29] and it is the sum of the first fifteen primes (2 + 3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47).

329 = 7 × 47. 329 is the sum of three consecutive primes (107 + 109 + 113), and a highly cototient number.[30]

330 = 2 × 3 × 5 × 11. 330 is sum of six consecutive primes (43 + 47 + 53 + 59 + 61 + 67), pentatope number (and hence a binomial coefficient  ), a pentagonal number,[31] divisible by the number of primes below it, and a sparsely totient number.[32]

331 is a prime number, super-prime, cuban prime,[33] a lucky prime,[34] sum of five consecutive primes (59 + 61 + 67 + 71 + 73), centered pentagonal number,[35] centered hexagonal number,[36] and Mertens function returns 0.[37]

332 = 22 × 83, Mertens function returns 0.[37]

333 = 32 × 37, Mertens function returns 0;[37] repdigit; 2333 is the smallest power of two greater than a googol.

334 = 2 × 167, nontotient.[38]

335 = 5 × 67. 335 is divisible by the number of primes below it, number of Lyndon words of length 12.

336 = 24 × 3 × 7, untouchable number,[16] number of partitions of 41 into prime parts.[39]

337, prime number, emirp, permutable prime with 373 and 733, Chen prime,[8] star number

338 = 2 × 132, nontotient, number of square (0,1)-matrices without zero rows and with exactly 4 entries equal to 1.[40]

339 = 3 × 113, Ulam number[41]

340 = 22 × 5 × 17, sum of eight consecutive primes (29 + 31 + 37 + 41 + 43 + 47 + 53 + 59), sum of ten consecutive primes (17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53), sum of the first four powers of 4 (41 + 42 + 43 + 44), divisible by the number of primes below it, nontotient, noncototient.[25] Number of regions formed by drawing the line segments connecting any two of the 12 perimeter points of a 3 times 3 grid of squares (sequence A331452 in the OEIS) and (sequence A255011 in the OEIS).

341 = 11 × 31, sum of seven consecutive primes (37 + 41 + 43 + 47 + 53 + 59 + 61), octagonal number,[42] centered cube number,[43] super-Poulet number. 341 is the smallest Fermat pseudoprime; it is the least composite odd modulus m greater than the base b, that satisfies the Fermat property "bm−1 − 1 is divisible by m", for bases up to 128 of b = 2, 15, 60, 63, 78, and 108.

342 = 2 × 32 × 19, pronic number,[44] Untouchable number.[16]

343 = 73, the first nice Friedman number that is composite since 343 = (3 + 4)3. It is the only known example of x2+x+1 = y3, in this case, x=18, y=7. It is z3 in a triplet (x,y,z) such that x5 + y2 = z3.

344 = 23 × 43, octahedral number,[45] noncototient,[25] totient sum of the first 33 integers, refactorable number.[29]

345 = 3 × 5 × 23, sphenic number,[15] idoneal number

346 = 2 × 173, Smith number,[11] noncototient.[25]

347 is a prime number, emirp, safe prime,[46] Eisenstein prime with no imaginary part, Chen prime,[8] Friedman prime since 347 = 73 + 4, twin prime with 349, and a strictly non-palindromic number.

348 = 22 × 3 × 29, sum of four consecutive primes (79 + 83 + 89 + 97), refactorable number.[29]

349, prime number, twin prime, lucky prime, sum of three consecutive primes (109 + 113 + 127), 5349 - 4349, [47] is a prime number.

350 = 2 × 52 × 7 =  , primitive semiperfect number,[48] divisible by the number of primes below it, nontotient, a truncated icosahedron of frequency 6 has 350 hexagonal faces and 12 pentagonal faces.

351 = 33 × 13, triangular number, sum of five consecutive primes (61 + 67 + 71 + 73 + 79), member of Padovan sequence[49] and number of compositions of 15 into distinct parts.[50]

352 = 25 × 11, the number of n-Queens Problem solutions for n = 9. It is the sum of two consecutive primes (173 + 179), lazy caterer number[26]

354 = 2 × 3 × 59 = 14 + 24 + 34 + 44,[51][52] sphenic number,[15] nontotient, also SMTP code meaning start of mail input. It is also sum of absolute value of the coefficients of Conway's polynomial.

355 = 5 × 71, Smith number,[11] Mertens function returns 0,[37] divisible by the number of primes below it.

The numerator of the best simplified rational approximation of pi having a denominator of four digits or fewer. This fraction (355/113) is known as Milü and provides an extremely accurate approximation for pi, being accurate to seven digits.

356 = 22 × 89, Mertens function returns 0.[37]

357 = 3 × 7 × 17, sphenic number.[15]

358 = 2 × 179, sum of six consecutive primes (47 + 53 + 59 + 61 + 67 + 71), Mertens function returns 0,[37] number of ways to partition {1,2,3,4,5} and then partition each cell (block) into subcells.[53]

361 = 192. 361 is a centered triangular number,[6] centered octagonal number, centered decagonal number,[54] member of the Mian–Chowla sequence;[55] also the number of positions on a standard 19 x 19 Go board.

362 = 2 × 181 = σ2(19): sum of squares of divisors of 19,[56] Mertens function returns 0,[37] nontotient, noncototient.[25]

364 = 22 × 7 × 13, tetrahedral number,[57] sum of twelve consecutive primes (11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53), Mertens function returns 0,[37] nontotient. It is a repdigit in base 3 (111111), base 9 (444), base 25 (EE), base 27 (DD), base 51 (77) and base 90 (44), the sum of six consecutive powers of 3 (1 + 3 + 9 + 27 + 81 + 243), and because it is the twelfth non-zero tetrahedral number.[57]

366 = 2 × 3 × 61, sphenic number,[15] Mertens function returns 0,[37] noncototient,[25] number of complete partitions of 20,[58] 26-gonal and 123-gonal. Also the number of days in a leap year.

367 is a prime number, a lucky prime,[34] Perrin number,[59] happy number, prime index prime and a strictly non-palindromic number.

368 = 24 × 23. It is also a Leyland number.[13]

370 = 2 × 5 × 37, sphenic number,[15] sum of four consecutive primes (83 + 89 + 97 + 101), nontotient, with 369 part of a Ruth–Aaron pair with only distinct prime factors counted, Base 10 Armstrong number since 33 + 73 + 03 = 370.

371 = 7 × 53, sum of three consecutive primes (113 + 127 + 131), sum of seven consecutive primes (41 + 43 + 47 + 53 + 59 + 61 + 67), sum of the primes from its least to its greatest prime factor,[60] the next such composite number is 2935561623745, Armstrong number since 33 + 73 + 13 = 371.

372 = 22 × 3 × 31, sum of eight consecutive primes (31 + 37 + 41 + 43 + 47 + 53 + 59 + 61), noncototient,[25] untouchable number,[16] --> refactorable number.[29]

373, prime number, balanced prime,[61] one of the rare primes to be both right and left-truncatable (two-sided prime),[9] sum of five consecutive primes (67 + 71 + 73 + 79 + 83), sexy prime with 367 and 379, permutable prime with 337 and 733, palindromic prime in 3 consecutive bases: 5658 = 4549 = 37310 and also in base 4: 113114.

374 = 2 × 11 × 17, sphenic number,[15] nontotient, 3744 + 1 is prime.[62]

375 = 3 × 53, number of regions in regular 11-gon with all diagonals drawn.[63]

376 = 23 × 47, pentagonal number,[31] 1-automorphic number,[64] nontotient, refactorable number.[29] There is a math puzzle in which when 376 is squared, 376 is also the last three digits, as 376 * 376 = 141376 [65]

377 = 13 × 29, Fibonacci number, a centered octahedral number,[66] a Lucas and Fibonacci pseudoprime, the sum of the squares of the first six primes.

378 = 2 × 33 × 7, triangular number, cake number, hexagonal number,[20] Smith number.[11]

379 is a prime number, Chen prime,[8] lazy caterer number[26] and a happy number in base 10. It is the sum of the first 15 odd primes (3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53). 379! - 1 is prime.

380 = 22 × 5 × 19, pronic number,[44] number of regions into which a figure made up of a row of 6 adjacent congruent rectangles is divided upon drawing diagonals of all possible rectangles.[67]

381 = 3 × 127, palindromic in base 2 and base 8.

381 is the sum of the first 16 prime numbers (2 + 3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53).

382 = 2 × 191, sum of ten consecutive primes (19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 53 + 59), Smith number.[11]

383, prime number, safe prime,[46] Woodall prime,[68] Thabit number, Eisenstein prime with no imaginary part, palindromic prime. It is also the first number where the sum of a prime and the reversal of the prime is also a prime.[69] 4383 - 3383 is prime.

385 = 5 × 7 × 11, sphenic number,[15] square pyramidal number,[70] the number of integer partitions of 18.

385 = 102 + 92 + 82 + 72 + 62 + 52 + 42 + 32 + 22 + 12

386 = 2 × 193, nontotient, noncototient,[25] centered heptagonal number,[7] number of surface points on a cube with edge-length 9.[71]

387 = 32 × 43, number of graphical partitions of 22.[72]

388 = 22 × 97 = solution to postage stamp problem with 6 stamps and 6 denominations,[73] number of uniform rooted trees with 10 nodes.[74]

389, prime number, emirp, Eisenstein prime with no imaginary part, Chen prime,[8] highly cototient number,[30] strictly non-palindromic number. Smallest conductor of a rank 2 Elliptic curve.

390 = 2 × 3 × 5 × 13, sum of four consecutive primes (89 + 97 + 101 + 103), nontotient,

  is prime[75]

391 = 17 × 23, Smith number,[11] centered pentagonal number.[35]

392 = 23 × 72, Achilles number.

393 = 3 × 131, Blum integer, Mertens function returns 0.[37]

394 = 2 × 197 = S5 a Schröder number,[76] nontotient, noncototient.[25]

395 = 5 × 79, sum of three consecutive primes (127 + 131 + 137), sum of five consecutive primes (71 + 73 + 79 + 83 + 89), number of (unordered, unlabeled) rooted trimmed trees with 11 nodes.[77]

396 = 22 × 32 × 11, sum of twin primes (197 + 199), totient sum of the first 36 integers, refactorable number,[29] Harshad number, digit-reassembly number.

397, prime number, cuban prime,[33] centered hexagonal number.[36]

398 = 2 × 199, nontotient.

  is prime[75]

399 = 3 × 7 × 19, sphenic number,[15] smallest Lucas–Carmichael number, Leyland number of the second kind. 399! + 1 is prime.