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12328448 = 29112199
BaseRepresentation
bin101111000001…
…111000000000
3212012100110012
4233001320000
511124002243
61120124052
7206534666
oct57017000
925170405
1012328448
116a60600
124166628
132728652
1418ccc36
151137d18
hexbc1e00

12328448 has 60 divisors (see below), whose sum is σ = 27211800. Its totient is φ = 5575680.

The previous prime is 12328427. The next prime is 12328507. The reversal of 12328448 is 84482321.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61853 + ... + 62051.

It is an arithmetic number, because the mean of its divisors is an integer number (453530).

Almost surely, 212328448 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 12328448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13605900).

12328448 is an abundant number, since it is smaller than the sum of its proper divisors (14883352).

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

12328448 is an equidigital number, since it uses as much as digits as its factorization.

12328448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 212 counting only the distinct ones).

The product of its digits is 12288, while the sum is 32.

The square root of 12328448 is about 3511.1889724138. The cubic root of 12328448 is about 231.0128488696.

The spelling of 12328448 in words is "twelve million, three hundred twenty-eight thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 199 242 256 352 398 484 512 704 796 968 1408 1592 1936 2189 2816 3184 3872 4378 5632 6368 7744 8756 12736 15488 17512 24079 25472 30976 35024 48158 50944 61952 70048 96316 101888 140096 192632 280192 385264 560384 770528 1120768 1541056 3082112 6164224 12328448