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23868312 = 23313113677
BaseRepresentation
bin101101100001…
…1001110011000
31122220122011120
41123003032120
522102241222
62211325240
7406606626
oct133031630
948818146
1023868312
1112522686
127bb0820
134c39080
143254516
15216715c
hex16c3398

23868312 has 64 divisors (see below), whose sum is σ = 64925280. Its totient is φ = 7268352.

The previous prime is 23868301. The next prime is 23868337. The reversal of 23868312 is 21386832.

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 15 ways as a sum of consecutive naturals, for example, 34918 + ... + 35594.

Almost surely, 223868312 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 23868312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32462640).

23868312 is an abundant number, since it is smaller than the sum of its proper divisors (41056968).

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

23868312 is a wasteful number, since it uses less digits than its factorization.

23868312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 808 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 23868312 is about 4885.5206477918. The cubic root of 23868312 is about 287.9213712819.

The spelling of 23868312 in words is "twenty-three million, eight hundred sixty-eight thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 113 156 226 312 339 452 677 678 904 1354 1356 1469 2031 2708 2712 2938 4062 4407 5416 5876 8124 8801 8814 11752 16248 17602 17628 26403 35204 35256 52806 70408 76501 105612 153002 211224 229503 306004 459006 612008 918012 994513 1836024 1989026 2983539 3978052 5967078 7956104 11934156 23868312