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354430656 = 2632797789
BaseRepresentation
bin10101001000000…
…010111011000000
3220200220221110100
4111020002323000
51211213240111
655100402400
711532416346
oct2510027300
9820827410
10354430656
11172080aa8
129a846400
1358577aa8
1435101996
15211b1756
hex15202ec0

354430656 has 84 divisors (see below), whose sum is σ = 1028903200. Its totient is φ = 116633088.

The previous prime is 354430633. The next prime is 354430697. The reversal of 354430656 is 656034453.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 354430656.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41610 + ... + 49398.

Almost surely, 2354430656 is an apocalyptic number.

354430656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354430656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514451600).

354430656 is an abundant number, since it is smaller than the sum of its proper divisors (674472544).

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

354430656 is a wasteful number, since it uses less digits than its factorization.

354430656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7886 (or 7873 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 354430656 is about 18826.3287977237. The cubic root of 354430656 is about 707.6911417362.

The spelling of 354430656 in words is "three hundred fifty-four million, four hundred thirty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 79 96 144 158 192 237 288 316 474 576 632 711 948 1264 1422 1896 2528 2844 3792 5056 5688 7584 7789 11376 15168 15578 22752 23367 31156 45504 46734 62312 70101 93468 124624 140202 186936 249248 280404 373872 498496 560808 615331 747744 1121616 1230662 1495488 1845993 2243232 2461324 3691986 4486464 4922648 5537979 7383972 9845296 11075958 14767944 19690592 22151916 29535888 39381184 44303832 59071776 88607664 118143552 177215328 354430656