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23329664 = 27971879
BaseRepresentation
bin101100011111…
…1101110000000
31121220021021122
41120333232000
521433022124
62152011412
7402204341
oct130775600
947807248
1023329664
1112194a16
127990b68
134aaab47
1431540c8
1520ac75e
hex163fb80

23329664 has 32 divisors (see below), whose sum is σ = 46981200. Its totient is φ = 11538432.

The previous prime is 23329609. The next prime is 23329667. The reversal of 23329664 is 46692332.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23329667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11477 + ... + 13355.

Almost surely, 223329664 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 23329664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23490600).

23329664 is an abundant number, since it is smaller than the sum of its proper divisors (23651536).

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

23329664 is an equidigital number, since it uses as much as digits as its factorization.

23329664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1990 (or 1978 counting only the distinct ones).

The product of its digits is 46656, while the sum is 35.

The square root of 23329664 is about 4830.0790883794. The cubic root of 23329664 is about 285.7389830079.

The spelling of 23329664 in words is "twenty-three million, three hundred twenty-nine thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 97 128 194 388 776 1552 1879 3104 3758 6208 7516 12416 15032 30064 60128 120256 182263 240512 364526 729052 1458104 2916208 5832416 11664832 23329664