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306690132 = 223717293733
BaseRepresentation
bin10010010001111…
…011100001010100
3210101002110202210
4102101323201110
51112003041012
650233233420
710412552220
oct2221734124
9711073683
10306690132
11148133921
1286862870
134b700c68
142ca35780
151bdd123c
hex1247b854

306690132 has 96 divisors (see below), whose sum is σ = 870089472. Its totient is φ = 82077696.

The previous prime is 306690121. The next prime is 306690133. The reversal of 306690132 is 231096603.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 306690132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306690133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 418038 + ... + 418770.

It is an arithmetic number, because the mean of its divisors is an integer number (9063432).

Almost surely, 2306690132 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 306690132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435044736).

306690132 is an abundant number, since it is smaller than the sum of its proper divisors (563399340).

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

306690132 is a wasteful number, since it uses less digits than its factorization.

306690132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 306690132 is about 17512.5706850822. The cubic root of 306690132 is about 674.3726275003.

The spelling of 306690132 in words is "three hundred six million, six hundred ninety thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 293 357 476 586 714 733 879 1172 1428 1466 1758 2051 2199 2932 3516 4102 4398 4981 5131 6153 8204 8796 9962 10262 12306 12461 14943 15393 19924 20524 24612 24922 29886 30786 34867 37383 49844 59772 61572 69734 74766 87227 104601 139468 149532 174454 209202 214769 261681 348908 418404 429538 523362 644307 859076 1046724 1288614 1503383 2577228 3006766 3651073 4510149 6013532 7302146 9020298 10953219 14604292 18040596 21906438 25557511 43812876 51115022 76672533 102230044 153345066 306690132