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331978680 = 233251183833
BaseRepresentation
bin10011110010011…
…001011110111000
3212010200021010200
4103302121132320
51134441304210
652535242200
711140525605
oct2362313670
9763607120
10331978680
11160436550
1293219360
1353a165b7
14321396ac
151e2290c0
hex13c997b8

331978680 has 96 divisors (see below), whose sum is σ = 1177029360. Its totient is φ = 80478720.

The previous prime is 331978651. The next prime is 331978693. The reversal of 331978680 is 86879133.

It is a happy number.

It is a super-2 number, since 2×3319786802 = 220419687949084800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37957 + ... + 45876.

Almost surely, 2331978680 is an apocalyptic number.

331978680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331978680 is an abundant number, since it is smaller than the sum of its proper divisors (845050680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

331978680 is a wasteful number, since it uses less digits than its factorization.

331978680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83861 (or 83854 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 331978680 is about 18220.2821053901. The cubic root of 331978680 is about 692.4207349313.

The spelling of 331978680 in words is "three hundred thirty-one million, nine hundred seventy-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 83833 167666 251499 335332 419165 502998 670664 754497 838330 922163 1005996 1257495 1508994 1676660 1844326 2011992 2514990 2766489 3017988 3353320 3688652 3772485 4610815 5029980 5532978 6035976 7377304 7544970 8299467 9221630 10059960 11065956 13832445 15089940 16598934 18443260 22131912 27664890 30179880 33197868 36886520 41497335 55329780 66395736 82994670 110659560 165989340 331978680