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23349664 = 251337241
BaseRepresentation
bin101100100010…
…0100110100000
31121221021201101
41121010212200
521434142124
62152244144
7402316552
oct131044640
947837641
1023349664
11121a8a48
1279a0654
134ab6c90
14315b4d2
1520b3644
hex16449a0

23349664 has 72 divisors (see below), whose sum is σ = 52120908. Its totient is φ = 10229760.

The previous prime is 23349659. The next prime is 23349671. The reversal of 23349664 is 46694332.

It can be written as a sum of positive squares in 6 ways, for example, as 11155600 + 12194064 = 3340^2 + 3492^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 569484 + ... + 569524.

Almost surely, 223349664 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 23349664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26060454).

23349664 is an abundant number, since it is smaller than the sum of its proper divisors (28771244).

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

23349664 is a wasteful number, since it uses less digits than its factorization.

23349664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 93 counting only the distinct ones).

The product of its digits is 93312, while the sum is 37.

The square root of 23349664 is about 4832.1490043251. The cubic root of 23349664 is about 285.8206122360.

The spelling of 23349664 in words is "twenty-three million, three hundred forty-nine thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 37 41 52 74 82 104 148 164 208 296 328 416 481 533 592 656 962 1066 1184 1312 1369 1517 1924 2132 2738 3034 3848 4264 5476 6068 7696 8528 10952 12136 15392 17056 17797 19721 21904 24272 35594 39442 43808 48544 56129 71188 78884 112258 142376 157768 224516 284752 315536 449032 569504 631072 729677 898064 1459354 1796128 2918708 5837416 11674832 23349664