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23459904 = 2632132241
BaseRepresentation
bin101100101111…
…1100001000000
31122010212221100
41121133201000
522001204104
62154454400
7403256136
oct131374100
948125840
1023459904
1112273856
127a34400
134b25200
143189756
1520d6139
hex165f840

23459904 has 126 divisors (see below), whose sum is σ = 73116186. Its totient is φ = 7188480.

The previous prime is 23459903. The next prime is 23459923. The reversal of 23459904 is 40995432.

It can be written as a sum of positive squares in 3 ways, for example, as 419904 + 23040000 = 648^2 + 4800^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (23459903) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 97224 + ... + 97464.

Almost surely, 223459904 is an apocalyptic number.

23459904 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 23459904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36558093).

23459904 is an abundant number, since it is smaller than the sum of its proper divisors (49656282).

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

23459904 is a wasteful number, since it uses less digits than its factorization.

23459904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 23459904 is about 4843.5425052331. The cubic root of 23459904 is about 286.2697180089.

It can be divided in two parts, 234 and 59904, that multiplied together give a square (14017536 = 37442).

The spelling of 23459904 in words is "twenty-three million, four hundred fifty-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 169 192 208 234 241 288 312 338 416 468 482 507 576 624 676 723 832 936 964 1014 1248 1352 1446 1521 1872 1928 2028 2169 2496 2704 2892 3042 3133 3744 3856 4056 4338 5408 5784 6084 6266 7488 7712 8112 8676 9399 10816 11568 12168 12532 15424 16224 17352 18798 23136 24336 25064 28197 32448 34704 37596 40729 46272 48672 50128 56394 69408 75192 81458 97344 100256 112788 122187 138816 150384 162916 200512 225576 244374 300768 325832 366561 451152 488748 601536 651664 733122 902304 977496 1303328 1466244 1804608 1954992 2606656 2932488 3909984 5864976 7819968 11729952 23459904