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23315328 = 273237547
BaseRepresentation
bin101100011110…
…0001110000000
31121212112121200
41120330032000
521432042303
62151421200
7402114501
oct130741600
947775550
1023315328
1112185173
127984800
134aa446a
14314cba8
1520a83a3
hex163c380

23315328 has 96 divisors (see below), whose sum is σ = 69031560. Its totient is φ = 7547904.

The previous prime is 23315323. The next prime is 23315339. The reversal of 23315328 is 82351332.

23315328 is a `hidden beast` number, since 2 + 331 + 5 + 328 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23315321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42351 + ... + 42897.

Almost surely, 223315328 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 23315328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34515780).

23315328 is an abundant number, since it is smaller than the sum of its proper divisors (45716232).

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

23315328 is a wasteful number, since it uses less digits than its factorization.

23315328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 589 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 23315328 is about 4828.5948266551. The cubic root of 23315328 is about 285.6804424676.

The spelling of 23315328 in words is "twenty-three million, three hundred fifteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 128 144 148 192 222 288 296 333 384 444 547 576 592 666 888 1094 1152 1184 1332 1641 1776 2188 2368 2664 3282 3552 4376 4736 4923 5328 6564 7104 8752 9846 10656 13128 14208 17504 19692 20239 21312 26256 35008 39384 40478 42624 52512 60717 70016 78768 80956 105024 121434 157536 161912 182151 210048 242868 315072 323824 364302 485736 630144 647648 728604 971472 1295296 1457208 1942944 2590592 2914416 3885888 5828832 7771776 11657664 23315328