Search a number
-
+
232578368 = 26113110657
BaseRepresentation
bin11011101110011…
…01110101000000
3121012122012112122
431313031311000
5434020001433
635024543412
75522612021
oct1567156500
9535565478
10232578368
1110a314630
1265a81b68
1339252a49
1422c62c48
1515642198
hexddcdd40

232578368 has 56 divisors (see below), whose sum is σ = 519769344. Its totient is φ = 102297600.

The previous prime is 232578349. The next prime is 232578403. The reversal of 232578368 is 863875232.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16496 + ... + 27152.

Almost surely, 2232578368 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 232578368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259884672).

232578368 is an abundant number, since it is smaller than the sum of its proper divisors (287190976).

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

232578368 is a wasteful number, since it uses less digits than its factorization.

232578368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10711 (or 10701 counting only the distinct ones).

The product of its digits is 483840, while the sum is 44.

The square root of 232578368 is about 15250.5202534209. The cubic root of 232578368 is about 614.9735534048.

The spelling of 232578368 in words is "two hundred thirty-two million, five hundred seventy-eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 176 248 341 352 496 682 704 992 1364 1984 2728 5456 10657 10912 21314 21824 42628 85256 117227 170512 234454 330367 341024 468908 660734 682048 937816 1321468 1875632 2642936 3634037 3751264 5285872 7268074 7502528 10571744 14536148 21143488 29072296 58144592 116289184 232578368