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413302944 = 25314532963
BaseRepresentation
bin11000101000101…
…000000010100000
31001210200222001110
4120220220002200
51321301143234
6105002303320
713146005565
oct3050500240
91053628043
10413302944
111a233168a
12b64b7b40
136781b672
143cc6886c
15264401e9
hex18a280a0

413302944 has 48 divisors (see below), whose sum is σ = 1086033312. Its totient is φ = 137626368.

The previous prime is 413302937. The next prime is 413302951. The reversal of 413302944 is 449203314.

It is an interprime number because it is at equal distance from previous prime (413302937) and next prime (413302951).

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138007 + ... + 140969.

It is an arithmetic number, because the mean of its divisors is an integer number (22625694).

Almost surely, 2413302944 is an apocalyptic number.

It is an amenable number.

413302944 is an abundant number, since it is smaller than the sum of its proper divisors (672730368).

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

413302944 is a wasteful number, since it uses less digits than its factorization.

413302944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4429 (or 4421 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 413302944 is about 20329.8535164423. The cubic root of 413302944 is about 744.8854644277.

The spelling of 413302944 in words is "four hundred thirteen million, three hundred two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1453 2906 2963 4359 5812 5926 8718 8889 11624 11852 17436 17778 23248 23704 34872 35556 46496 47408 69744 71112 94816 139488 142224 284448 4305239 8610478 12915717 17220956 25831434 34441912 51662868 68883824 103325736 137767648 206651472 413302944