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23868384 = 2531092281
BaseRepresentation
bin101101100001…
…1001111100000
31122220122021020
41123003033200
522102242014
62211325440
7406610061
oct133031740
948818236
1023868384
1112522741
127bb0880
134c39107
143254568
1521671a9
hex16c33e0

23868384 has 48 divisors (see below), whose sum is σ = 63257040. Its totient is φ = 7879680.

The previous prime is 23868337. The next prime is 23868401. The reversal of 23868384 is 48386832.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 9324 + ... + 11604.

It is an arithmetic number, because the mean of its divisors is an integer number (1317855).

Almost surely, 223868384 is an apocalyptic number.

23868384 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 23868384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31628520).

23868384 is an abundant number, since it is smaller than the sum of its proper divisors (39388656).

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

23868384 is a wasteful number, since it uses less digits than its factorization.

23868384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2403 (or 2395 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 23868384 is about 4885.5280164993. The cubic root of 23868384 is about 287.9216607916.

The spelling of 23868384 in words is "twenty-three million, eight hundred sixty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 109 218 327 436 654 872 1308 1744 2281 2616 3488 4562 5232 6843 9124 10464 13686 18248 27372 36496 54744 72992 109488 218976 248629 497258 745887 994516 1491774 1989032 2983548 3978064 5967096 7956128 11934192 23868384