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230762432 = 264187943
BaseRepresentation
bin11011100000100…
…10011111000000
3121002012221112202
431300102133000
5433033344212
634522012332
75501306525
oct1560223700
9532187482
10230762432
1110929425a
12653470a8
1338a68324
142290d14c
15153d40c2
hexdc127c0

230762432 has 28 divisors (see below), whose sum is σ = 469093296. Its totient is φ = 112565760.

The previous prime is 230762423. The next prime is 230762443. The reversal of 230762432 is 234267032.

It is a super-4 number, since 4×2307624324 (a number of 35 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 230762395 and 230762404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41348 + ... + 46595.

It is an arithmetic number, because the mean of its divisors is an integer number (16753332).

Almost surely, 2230762432 is an apocalyptic number.

It is an amenable number.

230762432 is an abundant number, since it is smaller than the sum of its proper divisors (238330864).

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

230762432 is an equidigital number, since it uses as much as digits as its factorization.

230762432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87996 (or 87986 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 29.

The square root of 230762432 is about 15190.8667297162. The cubic root of 230762432 is about 613.3688301237.

The spelling of 230762432 in words is "two hundred thirty million, seven hundred sixty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 41 64 82 164 328 656 1312 2624 87943 175886 351772 703544 1407088 2814176 3605663 5628352 7211326 14422652 28845304 57690608 115381216 230762432