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23982304 = 252943601
BaseRepresentation
bin101101101111…
…1000011100000
31200010102112111
41123133003200
522114413204
62214005104
7410563153
oct133370340
950112474
1023982304
11125a0295
128046794
134c78c18
143283c9a
15218ad04
hex16df0e0

23982304 has 48 divisors (see below), whose sum is σ = 50062320. Its totient is φ = 11289600.

The previous prime is 23982293. The next prime is 23982317. The reversal of 23982304 is 40328932.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39604 + ... + 40204.

It is an arithmetic number, because the mean of its divisors is an integer number (1042965).

Almost surely, 223982304 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 23982304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25031160).

23982304 is an abundant number, since it is smaller than the sum of its proper divisors (26080016).

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

23982304 is a wasteful number, since it uses less digits than its factorization.

23982304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 23982304 is about 4897.1730620839. The cubic root of 23982304 is about 288.3790020512.

The spelling of 23982304 in words is "twenty-three million, nine hundred eighty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 29 32 43 58 86 116 172 232 344 464 601 688 928 1202 1247 1376 2404 2494 4808 4988 9616 9976 17429 19232 19952 25843 34858 39904 51686 69716 103372 139432 206744 278864 413488 557728 749447 826976 1498894 2997788 5995576 11991152 23982304