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331676944 = 242921572
BaseRepresentation
bin10011110001001…
…111110100010000
3212010002221020021
4103301033310100
51134402130234
652524553224
711135131114
oct2361176420
9763087207
10331676944
1116024a885
12930b2814
135393c161
143209b744
151e1b99b4
hex13c4fd10

331676944 has 45 divisors (see below), whose sum is σ = 669813807. Its totient is φ = 159100032.

The previous prime is 331676941. The next prime is 331676957. The reversal of 331676944 is 449676133.

The square root of 331676944 is 18212.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 11696400 + 319980544 = 3420^2 + 17888^2 .

It is a super-2 number, since 2×3316769442 = 220019190362358272, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 331676944.

It is not an unprimeable number, because it can be changed into a prime (331676941) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2112514 + ... + 2112670.

Almost surely, 2331676944 is an apocalyptic number.

331676944 is the 18212-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331676944

331676944 is an abundant number, since it is smaller than the sum of its proper divisors (338136863).

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

331676944 is an equidigital number, since it uses as much as digits as its factorization.

331676944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 188 counting only the distinct ones).

The product of its digits is 326592, while the sum is 43.

The cubic root of 331676944 is about 692.2108905388.

The spelling of 331676944 in words is "three hundred thirty-one million, six hundred seventy-six thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 29 58 116 157 232 314 464 628 841 1256 1682 2512 3364 4553 6728 9106 13456 18212 24649 36424 49298 72848 98596 132037 197192 264074 394384 528148 714821 1056296 1429642 2112592 2859284 5718568 11437136 20729809 41459618 82919236 165838472 331676944