Search a number
-
+
23324256 = 2532109743
BaseRepresentation
bin101100011111…
…0011001100000
31121212222212100
41120332121200
521432334011
62151530400
7402152514
oct130763140
947788770
1023324256
111219094a
127989a00
134aa8547
143152144
1520aad56
hex163e660

23324256 has 72 divisors (see below), whose sum is σ = 67026960. Its totient is φ = 7693056.

The previous prime is 23324219. The next prime is 23324261. The reversal of 23324256 is 65242332.

23324256 is a `hidden beast` number, since 233 + 2 + 425 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

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, 31021 + ... + 31763.

It is an arithmetic number, because the mean of its divisors is an integer number (930930).

Almost surely, 223324256 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 23324256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33513480).

23324256 is an abundant number, since it is smaller than the sum of its proper divisors (43702704).

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

23324256 is a wasteful number, since it uses less digits than its factorization.

23324256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 857 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 23324256 is about 4829.5192307309. The cubic root of 23324256 is about 285.7169024522.

Adding to 23324256 its reverse (65242332), we get a palindrome (88566588).

The spelling of 23324256 in words is "twenty-three million, three hundred twenty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 109 144 218 288 327 436 654 743 872 981 1308 1486 1744 1962 2229 2616 2972 3488 3924 4458 5232 5944 6687 7848 8916 10464 11888 13374 15696 17832 23776 26748 31392 35664 53496 71328 80987 106992 161974 213984 242961 323948 485922 647896 728883 971844 1295792 1457766 1943688 2591584 2915532 3887376 5831064 7774752 11662128 23324256