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12346768 = 247234793
BaseRepresentation
bin101111000110…
…010110010000
3212020021120201
4233012112100
511130044033
61120344544
7206642260
oct57062620
925207521
1012346768
116a73345
124175154
132733aa5
1418d57a0
15113d47d
hexbc6590

12346768 has 40 divisors (see below), whose sum is σ = 28533888. Its totient is φ = 5060352.

The previous prime is 12346723. The next prime is 12346793. The reversal of 12346768 is 86764321.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 180 + ... + 4972.

Almost surely, 212346768 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 12346768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14266944).

12346768 is an abundant number, since it is smaller than the sum of its proper divisors (16187120).

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

12346768 is a wasteful number, since it uses less digits than its factorization.

12346768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4831 (or 4825 counting only the distinct ones).

The product of its digits is 48384, while the sum is 37.

The square root of 12346768 is about 3513.7968068743. The cubic root of 12346768 is about 231.1272201406.

The spelling of 12346768 in words is "twelve million, three hundred forty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 112 161 184 322 368 644 1288 2576 4793 9586 19172 33551 38344 67102 76688 110239 134204 220478 268408 440956 536816 771673 881912 1543346 1763824 3086692 6173384 12346768