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12334112 = 257174179
BaseRepresentation
bin101111000011…
…010000100000
3212012122012222
4233003100200
511124142422
61120210212
7206560340
oct57032040
925178188
1012334112
116a6488a
124169968
13272b0bb
1418d0d20
151139842
hexbc3420

12334112 has 96 divisors (see below), whose sum is σ = 30481920. Its totient is φ = 4792320.

The previous prime is 12334109. The next prime is 12334121. The reversal of 12334112 is 21143321.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

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, 156089 + ... + 156167.

It is an arithmetic number, because the mean of its divisors is an integer number (317520).

Almost surely, 212334112 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 12334112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15240960).

12334112 is an abundant number, since it is smaller than the sum of its proper divisors (18147808).

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

12334112 is a wasteful number, since it uses less digits than its factorization.

12334112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 146 counting only the distinct ones).

The product of its digits is 144, while the sum is 17.

The square root of 12334112 is about 3511.9954441884. The cubic root of 12334112 is about 231.0482211632.

Adding to 12334112 its reverse (21143321), we get a palindrome (33477433).

The spelling of 12334112 in words is "twelve million, three hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 41 56 68 79 82 112 119 136 158 164 224 238 272 287 316 328 476 544 553 574 632 656 697 952 1106 1148 1264 1312 1343 1394 1904 2212 2296 2528 2686 2788 3239 3808 4424 4592 4879 5372 5576 6478 8848 9184 9401 9758 10744 11152 12956 17696 18802 19516 21488 22304 22673 25912 37604 39032 42976 45346 51824 55063 75208 78064 90692 103648 110126 150416 156128 181384 220252 300832 362768 385441 440504 725536 770882 881008 1541764 1762016 3083528 6167056 12334112