Search a number
-
+
23388384 = 2532931271
BaseRepresentation
bin101100100111…
…0000011100000
31122000020211110
41121032003200
521441412014
62153143320
7402540465
oct131160340
948006743
1023388384
1112225048
1279bab40
134acb7a6
14316b66c
1520bed59
hex164e0e0

23388384 has 96 divisors (see below), whose sum is σ = 65802240. Its totient is φ = 7257600.

The previous prime is 23388377. The next prime is 23388419. The reversal of 23388384 is 48388332.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×233883842 = 1094033012262912, which contains 22 as substring.

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, 86169 + ... + 86439.

It is an arithmetic number, because the mean of its divisors is an integer number (685440).

Almost surely, 223388384 is an apocalyptic number.

23388384 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 23388384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32901120).

23388384 is an abundant number, since it is smaller than the sum of its proper divisors (42413856).

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

23388384 is a wasteful number, since it uses less digits than its factorization.

23388384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 336 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 23388384 is about 4836.1538437068. The cubic root of 23388384 is about 285.9785140427.

The spelling of 23388384 in words is "twenty-three million, three hundred eighty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 31 32 48 58 62 87 93 96 116 124 174 186 232 248 271 348 372 464 496 542 696 744 813 899 928 992 1084 1392 1488 1626 1798 2168 2697 2784 2976 3252 3596 4336 5394 6504 7192 7859 8401 8672 10788 13008 14384 15718 16802 21576 23577 25203 26016 28768 31436 33604 43152 47154 50406 62872 67208 86304 94308 100812 125744 134416 188616 201624 243629 251488 268832 377232 403248 487258 730887 754464 806496 974516 1461774 1949032 2923548 3898064 5847096 7796128 11694192 23388384