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12345816 = 2337431709
BaseRepresentation
bin101111000110…
…000111011000
3212020020021110
4233012013120
511130031231
61120340320
7206636430
oct57060730
925206243
1012345816
116a7265a
1241746a0
132733522
1418d52c0
15113d046
hexbc61d8

12345816 has 64 divisors (see below), whose sum is σ = 36115200. Its totient is φ = 3443328.

The previous prime is 12345811. The next prime is 12345847. The reversal of 12345816 is 61854321.

12345816 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 an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12345811) 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, 6370 + ... + 8078.

It is an arithmetic number, because the mean of its divisors is an integer number (564300).

Almost surely, 212345816 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 12345816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18057600).

12345816 is an abundant number, since it is smaller than the sum of its proper divisors (23769384).

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

12345816 is a wasteful number, since it uses less digits than its factorization.

12345816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1768 (or 1764 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 12345816 is about 3513.6613382624. The cubic root of 12345816 is about 231.1212796178.

The spelling of 12345816 in words is "twelve million, three hundred forty-five thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 129 168 172 258 301 344 516 602 903 1032 1204 1709 1806 2408 3418 3612 5127 6836 7224 10254 11963 13672 20508 23926 35889 41016 47852 71778 73487 95704 143556 146974 220461 287112 293948 440922 514409 587896 881844 1028818 1543227 1763688 2057636 3086454 4115272 6172908 12345816