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230760432 = 24327228929
BaseRepresentation
bin11011100000100…
…01111111110000
3121002012211210200
431300101333300
5433033313212
634521555200
75501300640
oct1560217760
9532184720
10230760432
11109292801
1265345b00
1338a67446
142290c520
15153d36dc
hexdc11ff0

230760432 has 60 divisors (see below), whose sum is σ = 738070320. Its totient is φ = 65931264.

The previous prime is 230760427. The next prime is 230760443. The reversal of 230760432 is 234067032.

230760432 is a `hidden beast` number, since 23 + 0 + 7 + 604 + 32 = 666.

230760432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 230760396 and 230760405.

It is a congruent number.

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, 113457 + ... + 115472.

It is an arithmetic number, because the mean of its divisors is an integer number (12301172).

Almost surely, 2230760432 is an apocalyptic number.

It is an amenable number.

230760432 is an abundant number, since it is smaller than the sum of its proper divisors (507309888).

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

230760432 is a wasteful number, since it uses less digits than its factorization.

230760432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228950 (or 228941 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 230760432 is about 15190.8009005450. The cubic root of 230760432 is about 613.3670581120.

The spelling of 230760432 in words is "two hundred thirty million, seven hundred sixty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 228929 457858 686787 915716 1373574 1602503 1831432 2060361 2747148 3205006 3662864 4120722 4807509 5494296 6410012 8241444 9615018 10988592 12820024 14422527 16482888 19230036 25640048 28845054 32965776 38460072 57690108 76920144 115380216 230760432