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12328368 = 2431323859
BaseRepresentation
bin101111000001…
…110110110000
3212012100100020
4233001312300
511124001433
61120123440
7206534523
oct57016660
925170306
1012328368
116a60538
124166580
1327285c0
1418ccbba
151137cb3
hexbc1db0

12328368 has 80 divisors (see below), whose sum is σ = 35831040. Its totient is φ = 3624192.

The previous prime is 12328357. The next prime is 12328373. The reversal of 12328368 is 86382321.

12328368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13923 + ... + 14781.

It is an arithmetic number, because the mean of its divisors is an integer number (447888).

Almost surely, 212328368 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 12328368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17915520).

12328368 is an abundant number, since it is smaller than the sum of its proper divisors (23502672).

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

12328368 is a wasteful number, since it uses less digits than its factorization.

12328368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 900 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 12328368 is about 3511.1775802428. The cubic root of 12328368 is about 231.0123491833.

The spelling of 12328368 in words is "twelve million, three hundred twenty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 39 46 48 52 69 78 92 104 138 156 184 208 276 299 312 368 552 598 624 859 897 1104 1196 1718 1794 2392 2577 3436 3588 4784 5154 6872 7176 10308 11167 13744 14352 19757 20616 22334 33501 39514 41232 44668 59271 67002 79028 89336 118542 134004 158056 178672 237084 256841 268008 316112 474168 513682 536016 770523 948336 1027364 1541046 2054728 3082092 4109456 6164184 12328368