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23242968 = 23327107431
BaseRepresentation
bin101100010101…
…0100011011000
31121201212100200
41120222203120
521422233333
62150102200
7401363520
oct130524330
947655320
1023242968
1112135871
12794a960
134a7a548
143130680
152091c13
hex162a8d8

23242968 has 96 divisors (see below), whose sum is σ = 72783360. Its totient is φ = 6563520.

The previous prime is 23242951. The next prime is 23242969. The reversal of 23242968 is 86924232.

It is a super-2 number, since 2×232429682 = 1080471122898048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23242969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53713 + ... + 54143.

It is an arithmetic number, because the mean of its divisors is an integer number (758160).

Almost surely, 223242968 is an apocalyptic number.

23242968 is a gapful number since it is divisible by the number (28) 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 23242968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36391680).

23242968 is an abundant number, since it is smaller than the sum of its proper divisors (49540392).

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

23242968 is a wasteful number, since it uses less digits than its factorization.

23242968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 550 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 23242968 is about 4821.0961409207. The cubic root of 23242968 is about 285.3845961894.

The spelling of 23242968 in words is "twenty-three million, two hundred forty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 107 126 168 214 252 321 428 431 504 642 749 856 862 963 1284 1293 1498 1724 1926 2247 2568 2586 2996 3017 3448 3852 3879 4494 5172 5992 6034 6741 7704 7758 8988 9051 10344 12068 13482 15516 17976 18102 24136 26964 27153 31032 36204 46117 53928 54306 72408 92234 108612 138351 184468 217224 276702 322819 368936 415053 553404 645638 830106 968457 1106808 1291276 1660212 1936914 2582552 2905371 3320424 3873828 5810742 7747656 11621484 23242968