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23397768 = 2333149727
BaseRepresentation
bin101100101000…
…0010110001000
31122000201201000
41121100112020
521442212033
62153255000
7402610032
oct131202610
948021630
1023397768
11122310a9
127a04460
134b02b44
143170c52
1520c2a13
hex1650588

23397768 has 64 divisors (see below), whose sum is σ = 65520000. Its totient is φ = 7736256.

The previous prime is 23397749. The next prime is 23397769. The reversal of 23397768 is 86779332.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (23397769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31821 + ... + 32547.

It is an arithmetic number, because the mean of its divisors is an integer number (1023750).

Almost surely, 223397768 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 23397768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32760000).

23397768 is an abundant number, since it is smaller than the sum of its proper divisors (42122232).

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

23397768 is a wasteful number, since it uses less digits than its factorization.

23397768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 881 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 23397768 is about 4837.1239388711. The cubic root of 23397768 is about 286.0167561539.

The spelling of 23397768 in words is "twenty-three million, three hundred ninety-seven thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 149 216 298 447 596 727 894 1192 1341 1454 1788 2181 2682 2908 3576 4023 4362 5364 5816 6543 8046 8724 10728 13086 16092 17448 19629 26172 32184 39258 52344 78516 108323 157032 216646 324969 433292 649938 866584 974907 1299876 1949814 2599752 2924721 3899628 5849442 7799256 11698884 23397768