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580742344 = 237133125733
BaseRepresentation
bin100010100111010…
…110110011001000
31111110202202201201
4202213112303020
52142132223334
6133343153544
720251141240
oct4247266310
91443682651
10580742344
112788a5356
121425a58b4
1393415330
14571b2b20
1535eb6c14
hex229d6cc8

580742344 has 64 divisors (see below), whose sum is σ = 1383459840. Its totient is φ = 222324480.

The previous prime is 580742339. The next prime is 580742363. The reversal of 580742344 is 443247085.

It is a super-2 number, since 2×5807423442 = 674523340229228672, which contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9702 + ... + 35434.

It is an arithmetic number, because the mean of its divisors is an integer number (21616560).

Almost surely, 2580742344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 580742344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691729920).

580742344 is an abundant number, since it is smaller than the sum of its proper divisors (802717496).

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

580742344 is a wasteful number, since it uses less digits than its factorization.

580742344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25790 (or 25786 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 37.

The square root of 580742344 is about 24098.5963076690. The cubic root of 580742344 is about 834.3107338532.

The spelling of 580742344 in words is "five hundred eighty million, seven hundred forty-two thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 13 14 26 28 31 52 56 62 91 104 124 182 217 248 364 403 434 728 806 868 1612 1736 2821 3224 5642 11284 22568 25733 51466 102932 180131 205864 334529 360262 669058 720524 797723 1338116 1441048 1595446 2341703 2676232 3190892 4683406 5584061 6381784 9366812 10370399 11168122 18733624 20740798 22336244 41481596 44672488 72592793 82963192 145185586 290371172 580742344