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12329148 = 22313174649
BaseRepresentation
bin101111000010…
…000010111100
3212012101102010
4233002002330
511124013043
61120131220
7206540016
oct57020274
925171363
1012329148
116a61087
124166b10
132728a70
1418cd1b6
151138133
hexbc20bc

12329148 has 48 divisors (see below), whose sum is σ = 32810400. Its totient is φ = 3569664.

The previous prime is 12329129. The next prime is 12329159. The reversal of 12329148 is 84192321.

It is a super-3 number, since 3×123291483 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 328 + ... + 4976.

It is an arithmetic number, because the mean of its divisors is an integer number (683550).

Almost surely, 212329148 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 12329148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16405200).

12329148 is an abundant number, since it is smaller than the sum of its proper divisors (20481252).

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

12329148 is a wasteful number, since it uses less digits than its factorization.

12329148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4686 (or 4684 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 12329148 is about 3511.2886523326. The cubic root of 12329148 is about 231.0172210321.

The spelling of 12329148 in words is "twelve million, three hundred twenty-nine thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 442 663 884 1326 2652 4649 9298 13947 18596 27894 55788 60437 79033 120874 158066 181311 237099 241748 316132 362622 474198 725244 948396 1027429 2054858 3082287 4109716 6164574 12329148