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331880960 = 295129641
BaseRepresentation
bin10011110010000…
…001101000000000
3212010111022002102
4103302001220000
51134430142320
652533205532
711136640655
oct2362015000
9763438072
10331880960
1116037a094
12931908a8
13539b0c88
1432111c2c
151e20a175
hex13c81a00

331880960 has 40 divisors (see below), whose sum is σ = 795742596. Its totient is φ = 132751360.

The previous prime is 331880957. The next prime is 331880977. The reversal of 331880960 is 69088133.

331880960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 305830144 + 26050816 = 17488^2 + 5104^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×3318809602 = 220289943221043200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 62261 + ... + 67380.

Almost surely, 2331880960 is an apocalyptic number.

It is an amenable number.

331880960 is an abundant number, since it is smaller than the sum of its proper divisors (463861636).

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

331880960 is an equidigital number, since it uses as much as digits as its factorization.

331880960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129664 (or 129648 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 331880960 is about 18217.6002810469. The cubic root of 331880960 is about 692.3527888066.

The spelling of 331880960 in words is "three hundred thirty-one million, eight hundred eighty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 129641 259282 518564 648205 1037128 1296410 2074256 2592820 4148512 5185640 8297024 10371280 16594048 20742560 33188096 41485120 66376192 82970240 165940480 331880960