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23923328 = 2711131307
BaseRepresentation
bin101101101000…
…0101010000000
31200000102122012
41123100222000
522111021303
62212432052
7410226212
oct133205200
950012565
1023923328
111255aa50
128018628
134c58120
14326a5b2
1521785d8
hex16d0a80

23923328 has 64 divisors (see below), whose sum is σ = 56034720. Its totient is φ = 10030080.

The previous prime is 23923327. The next prime is 23923331. The reversal of 23923328 is 82332932.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 23923294 and 23923303.

It is not an unprimeable number, because it can be changed into a prime (23923321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17651 + ... + 18957.

Almost surely, 223923328 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 23923328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28017360).

23923328 is an abundant number, since it is smaller than the sum of its proper divisors (32111392).

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

23923328 is a wasteful number, since it uses less digits than its factorization.

23923328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1333 counting only the distinct ones).

The product of its digits is 15552, while the sum is 32.

The square root of 23923328 is about 4891.1479225229. The cubic root of 23923328 is about 288.1424192724.

The spelling of 23923328 in words is "twenty-three million, nine hundred twenty-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 176 208 286 352 416 572 704 832 1144 1307 1408 1664 2288 2614 4576 5228 9152 10456 14377 16991 18304 20912 28754 33982 41824 57508 67964 83648 115016 135928 167296 186901 230032 271856 373802 460064 543712 747604 920128 1087424 1495208 1840256 2174848 2990416 5980832 11961664 23923328