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12347088 = 2431347421
BaseRepresentation
bin101111000110…
…011011010000
3212020022000120
4233012123100
511130101323
61120350240
7206643225
oct57063320
925208016
1012347088
116a73606
124175380
132733c90
1418d594c
15113d5e3
hexbc66d0

12347088 has 80 divisors (see below), whose sum is σ = 35164416. Its totient is φ = 3709440.

The previous prime is 12347081. The next prime is 12347089. The reversal of 12347088 is 88074321.

12347088 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12347081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29118 + ... + 29538.

Almost surely, 212347088 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 12347088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17582208).

12347088 is an abundant number, since it is smaller than the sum of its proper divisors (22817328).

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

12347088 is a wasteful number, since it uses less digits than its factorization.

12347088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 12347088 is about 3513.8423413693. The cubic root of 12347088 is about 231.1292168864.

The spelling of 12347088 in words is "twelve million, three hundred forty-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 47 48 52 78 94 104 141 156 188 208 282 312 376 421 564 611 624 752 842 1128 1222 1263 1684 1833 2256 2444 2526 3368 3666 4888 5052 5473 6736 7332 9776 10104 10946 14664 16419 19787 20208 21892 29328 32838 39574 43784 59361 65676 79148 87568 118722 131352 158296 237444 257231 262704 316592 474888 514462 771693 949776 1028924 1543386 2057848 3086772 4115696 6173544 12347088