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23379104 = 257295961
BaseRepresentation
bin101100100101…
…1110010100000
31121222210002202
41121023302200
521441112404
62153032332
7402501440
oct131136240
947883082
1023379104
1112219081
1279b56a8
134ac74b8
143168120
1520bc21e
hex164bca0

23379104 has 96 divisors (see below), whose sum is σ = 56246400. Its totient is φ = 9354240.

The previous prime is 23379091. The next prime is 23379113. The reversal of 23379104 is 40197332.

It is a Harshad number since it is a multiple of its sum of digits (29).

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, 383234 + ... + 383294.

It is an arithmetic number, because the mean of its divisors is an integer number (585900).

Almost surely, 223379104 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 23379104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28123200).

23379104 is an abundant number, since it is smaller than the sum of its proper divisors (32867296).

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

23379104 is a wasteful number, since it uses less digits than its factorization.

23379104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 23379104 is about 4835.1943084017. The cubic root of 23379104 is about 285.9406856961.

The spelling of 23379104 in words is "twenty-three million, three hundred seventy-nine thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 59 61 112 116 118 122 203 224 232 236 244 406 413 427 464 472 488 812 826 854 928 944 976 1624 1652 1708 1711 1769 1888 1952 3248 3304 3416 3422 3538 3599 6496 6608 6832 6844 7076 7198 11977 12383 13216 13664 13688 14152 14396 23954 24766 25193 27376 28304 28792 47908 49532 50386 54752 56608 57584 95816 99064 100772 104371 115168 191632 198128 201544 208742 383264 396256 403088 417484 730597 806176 834968 1461194 1669936 2922388 3339872 5844776 11689552 23379104