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12328008 = 2337211953
BaseRepresentation
bin101111000001…
…110001001000
3212012022211220
4233001301020
511123444013
61120122040
7206533500
oct57016110
925168756
1012328008
116a60240
124166320
1327283a4
1418cca00
151137b23
hexbc1c48

12328008 has 96 divisors (see below), whose sum is σ = 39152160. Its totient is φ = 3198720.

The previous prime is 12328007. The next prime is 12328037. The reversal of 12328008 is 80082321.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (12328007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12460 + ... + 13412.

It is an arithmetic number, because the mean of its divisors is an integer number (407835).

Almost surely, 212328008 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 12328008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19576080).

12328008 is an abundant number, since it is smaller than the sum of its proper divisors (26824152).

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

12328008 is a wasteful number, since it uses less digits than its factorization.

12328008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 12328008 is about 3511.1263150163. The cubic root of 12328008 is about 231.0101005684.

The spelling of 12328008 in words is "twelve million, three hundred twenty-eight thousand, eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 49 56 66 77 84 88 98 132 147 154 168 196 231 264 294 308 392 462 539 588 616 924 953 1078 1176 1617 1848 1906 2156 2859 3234 3812 4312 5718 6468 6671 7624 10483 11436 12936 13342 20013 20966 22872 26684 31449 40026 41932 46697 53368 62898 73381 80052 83864 93394 125796 140091 146762 160104 186788 220143 251592 280182 293524 373576 440286 513667 560364 587048 880572 1027334 1120728 1541001 1761144 2054668 3082002 4109336 6164004 12328008