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12348912 = 2433143193
BaseRepresentation
bin101111000110…
…110111110000
3212020101112010
4233012313300
511130131122
61120402520
7206651442
oct57066760
925211463
1012348912
116a74a14
124176440
132734a64
1418d6492
15113de0c
hexbc6df0

12348912 has 80 divisors (see below), whose sum is σ = 33870848. Its totient is φ = 3870720.

The previous prime is 12348893. The next prime is 12348923. The reversal of 12348912 is 21984321.

It is a self number, because there is not a number n which added to its sum of digits gives 12348912.

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, 63888 + ... + 64080.

Almost surely, 212348912 is an apocalyptic number.

12348912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12348912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16935424).

12348912 is an abundant number, since it is smaller than the sum of its proper divisors (21521936).

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

12348912 is a wasteful number, since it uses less digits than its factorization.

12348912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 272 counting only the distinct ones).

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

The square root of 12348912 is about 3514.1018767247. The cubic root of 12348912 is about 231.1405976787.

The spelling of 12348912 in words is "twelve million, three hundred forty-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 43 48 62 86 93 124 129 172 186 193 248 258 344 372 386 496 516 579 688 744 772 1032 1158 1333 1488 1544 2064 2316 2666 3088 3999 4632 5332 5983 7998 8299 9264 10664 11966 15996 16598 17949 21328 23932 24897 31992 33196 35898 47864 49794 63984 66392 71796 95728 99588 132784 143592 199176 257269 287184 398352 514538 771807 1029076 1543614 2058152 3087228 4116304 6174456 12348912