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23304864 = 2531129761
BaseRepresentation
bin101100011100…
…1101010100000
31121212000021010
41120321222200
521431223424
62151300520
7402042132
oct130715240
947760233
1023304864
1112178320
12797a740
134a9c77b
143149052
1520a5229
hex1639aa0

23304864 has 96 divisors (see below), whose sum is σ = 69128640. Its totient is φ = 6809600.

The previous prime is 23304859. The next prime is 23304871. The reversal of 23304864 is 46840332.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30244 + ... + 31004.

It is an arithmetic number, because the mean of its divisors is an integer number (720090).

Almost surely, 223304864 is an apocalyptic number.

23304864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23304864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34564320).

23304864 is an abundant number, since it is smaller than the sum of its proper divisors (45823776).

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

23304864 is a wasteful number, since it uses less digits than its factorization.

23304864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 23304864 is about 4827.5111600078. The cubic root of 23304864 is about 285.6376979481.

The spelling of 23304864 in words is "twenty-three million, three hundred four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 32 33 44 48 58 66 87 88 96 116 132 174 176 232 264 319 348 352 464 528 638 696 761 928 957 1056 1276 1392 1522 1914 2283 2552 2784 3044 3828 4566 5104 6088 7656 8371 9132 10208 12176 15312 16742 18264 22069 24352 25113 30624 33484 36528 44138 50226 66207 66968 73056 88276 100452 132414 133936 176552 200904 242759 264828 267872 353104 401808 485518 529656 706208 728277 803616 971036 1059312 1456554 1942072 2118624 2913108 3884144 5826216 7768288 11652432 23304864