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12335268 = 223111723239
BaseRepresentation
bin101111000011…
…100010100100
3212012200210210
4233003202210
511124212033
61120215420
7206563611
oct57034244
925180723
1012335268
116a65740
12416a570
13272b79a
1418d1508
151139d63
hexbc38a4

12335268 has 96 divisors (see below), whose sum is σ = 34836480. Its totient is φ = 3351040.

The previous prime is 12335261. The next prime is 12335287. The reversal of 12335268 is 86253321.

It is not an unprimeable number, because it can be changed into a prime (12335261) 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 31 ways as a sum of consecutive naturals, for example, 51493 + ... + 51731.

It is an arithmetic number, because the mean of its divisors is an integer number (362880).

Almost surely, 212335268 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 12335268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17418240).

12335268 is an abundant number, since it is smaller than the sum of its proper divisors (22501212).

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

12335268 is a wasteful number, since it uses less digits than its factorization.

12335268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 295 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 12335268 is about 3512.1600191335. The cubic root of 12335268 is about 231.0554391778.

Adding to 12335268 its reverse (86253321), we get a palindrome (98588589).

The spelling of 12335268 in words is "twelve million, three hundred thirty-five thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 17 22 23 33 34 44 46 51 66 68 69 92 102 132 138 187 204 239 253 276 374 391 478 506 561 717 748 759 782 956 1012 1122 1173 1434 1518 1564 2244 2346 2629 2868 3036 4063 4301 4692 5258 5497 7887 8126 8602 10516 10994 12189 12903 15774 16252 16491 17204 21988 24378 25806 31548 32982 44693 48756 51612 60467 65964 89386 93449 120934 134079 178772 181401 186898 241868 268158 280347 362802 373796 536316 560694 725604 1027939 1121388 2055878 3083817 4111756 6167634 12335268