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232413312 = 273738291
BaseRepresentation
bin11011101101001…
…01100010000000
3121012022211010110
431312211202000
5433444211222
635021231320
75521323555
oct1566454200
9535284113
10232413312
1110a21161a
1265a02540
13391c5891
1422c1ca2c
151560d30c
hexdda5880

232413312 has 64 divisors (see below), whose sum is σ = 625880160. Its totient is φ = 76400640.

The previous prime is 232413299. The next prime is 232413319. The reversal of 232413312 is 213314232.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (232413319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23887 + ... + 32177.

Almost surely, 2232413312 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 232413312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312940080).

232413312 is an abundant number, since it is smaller than the sum of its proper divisors (393466848).

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

232413312 is an equidigital number, since it uses as much as digits as its factorization.

232413312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8381 (or 8369 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 232413312 is about 15245.1078054568. The cubic root of 232413312 is about 614.8280410238.

Adding to 232413312 its reverse (213314232), we get a palindrome (445727544).

The spelling of 232413312 in words is "two hundred thirty-two million, four hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 128 146 192 219 292 384 438 584 876 1168 1752 2336 3504 4672 7008 8291 9344 14016 16582 24873 28032 33164 49746 66328 99492 132656 198984 265312 397968 530624 605243 795936 1061248 1210486 1591872 1815729 2420972 3183744 3631458 4841944 7262916 9683888 14525832 19367776 29051664 38735552 58103328 77471104 116206656 232413312