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12328608 = 253167769
BaseRepresentation
bin101111000001…
…111010100000
3212012100200010
4233001322200
511124003413
61120124520
7206535315
oct57017240
925170603
1012328608
116a60736
124166740
132728746
1418ccd0c
151137dc3
hexbc1ea0

12328608 has 48 divisors (see below), whose sum is σ = 32598720. Its totient is φ = 4079616.

The previous prime is 12328601. The next prime is 12328609. The reversal of 12328608 is 80682321.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (12328601) 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 7 ways as a sum of consecutive naturals, for example, 15648 + ... + 16416.

It is an arithmetic number, because the mean of its divisors is an integer number (679140).

Almost surely, 212328608 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 12328608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16299360).

12328608 is an abundant number, since it is smaller than the sum of its proper divisors (20270112).

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

12328608 is a wasteful number, since it uses less digits than its factorization.

12328608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 12328608 is about 3511.2117566447. The cubic root of 12328608 is about 231.0138482356.

The spelling of 12328608 in words is "twelve million, three hundred twenty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 167 334 501 668 769 1002 1336 1538 2004 2307 2672 3076 4008 4614 5344 6152 8016 9228 12304 16032 18456 24608 36912 73824 128423 256846 385269 513692 770538 1027384 1541076 2054768 3082152 4109536 6164304 12328608