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23291904 = 211317223
BaseRepresentation
bin101100011011…
…0100000000000
31121211100111010
41120312200000
521430320104
62151120520
7401656266
oct130664000
947740433
1023291904
1112169609
127973140
134a968bc
143144436
1520a1489
hex1636800

23291904 has 96 divisors (see below), whose sum is σ = 66044160. Its totient is φ = 7274496.

The previous prime is 23291897. The next prime is 23291941. The reversal of 23291904 is 40919232.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104337 + ... + 104559.

It is an arithmetic number, because the mean of its divisors is an integer number (687960).

Almost surely, 223291904 is an apocalyptic number.

23291904 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 23291904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33022080).

23291904 is an abundant number, since it is smaller than the sum of its proper divisors (42752256).

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

23291904 is a wasteful number, since it uses less digits than its factorization.

23291904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 23291904 is about 4826.1686667583. The cubic root of 23291904 is about 285.5847397475.

The spelling of 23291904 in words is "twenty-three million, two hundred ninety-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 223 256 272 384 408 446 512 544 669 768 816 892 1024 1088 1338 1536 1632 1784 2048 2176 2676 3072 3264 3568 3791 4352 5352 6144 6528 7136 7582 8704 10704 11373 13056 14272 15164 17408 21408 22746 26112 28544 30328 34816 42816 45492 52224 57088 60656 85632 90984 104448 114176 121312 171264 181968 228352 242624 342528 363936 456704 485248 685056 727872 970496 1370112 1455744 1940992 2911488 3881984 5822976 7763968 11645952 23291904