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23315904 = 2633103131
BaseRepresentation
bin101100011110…
…0010111000000
31121212120102000
41120330113000
521432102104
62151424000
7402116253
oct130742700
947776360
1023315904
1112185647
127985000
134aa47c1
14314d09a
1520a8639
hex163c5c0

23315904 has 112 divisors (see below), whose sum is σ = 69738240. Its totient is φ = 7637760.

The previous prime is 23315899. The next prime is 23315911. The reversal of 23315904 is 40951332.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 177919 + ... + 178049.

Almost surely, 223315904 is an apocalyptic number.

23315904 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 23315904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34869120).

23315904 is an abundant number, since it is smaller than the sum of its proper divisors (46422336).

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

23315904 is a wasteful number, since it uses less digits than its factorization.

23315904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 23315904 is about 4828.6544709681. The cubic root of 23315904 is about 285.6827950055.

The spelling of 23315904 in words is "twenty-three million, three hundred fifteen thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 103 108 131 144 192 206 216 262 288 309 393 412 432 524 576 618 786 824 864 927 1048 1179 1236 1572 1648 1728 1854 2096 2358 2472 2781 3144 3296 3537 3708 4192 4716 4944 5562 6288 6592 7074 7416 8384 9432 9888 11124 12576 13493 14148 14832 18864 19776 22248 25152 26986 28296 29664 37728 40479 44496 53972 56592 59328 75456 80958 88992 107944 113184 121437 161916 177984 215888 226368 242874 323832 364311 431776 485748 647664 728622 863552 971496 1295328 1457244 1942992 2590656 2914488 3885984 5828976 7771968 11657952 23315904