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32342360328 = 23321726423497
BaseRepresentation
bin11110000111110000…
…010100000100001000
310002110222212010200100
4132013300110010020
51012214121012303
622505145005400
72223321345465
oct360760240410
9102428763610
1032342360328
1112797468013
126327483860
13308574c225
1417cb58266c
15c945b68a3
hex787c14108

32342360328 has 48 divisors (see below), whose sum is σ = 92746477980. Its totient is φ = 10146622464.

The previous prime is 32342360321. The next prime is 32342360359. The reversal of 32342360328 is 82306324323.

32342360328 is a `hidden beast` number, since 3 + 2 + 3 + 4 + 23 + 603 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27848266884 + 4494093444 = 166878^2 + 67038^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 32342360292 and 32342360301.

It is not an unprimeable number, because it can be changed into a prime (32342360321) 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 11 ways as a sum of consecutive naturals, for example, 13210525 + ... + 13212972.

Almost surely, 232342360328 is an apocalyptic number.

It is an amenable number.

32342360328 is an abundant number, since it is smaller than the sum of its proper divisors (60404117652).

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

32342360328 is a wasteful number, since it uses less digits than its factorization.

32342360328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26423526 (or 26423519 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 32342360328 in words is "thirty-two billion, three hundred forty-two million, three hundred sixty thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 26423497 52846994 79270491 105693988 158540982 211387976 237811473 317081964 449199449 475622946 634163928 898398898 951245892 1347598347 1796797796 1902491784 2695196694 3593595592 4042795041 5390393388 8085590082 10780786776 16171180164 32342360328