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12346964 = 2271725939
BaseRepresentation
bin101111000110…
…011001010100
3212020021211222
4233012121110
511130100324
61120345512
7206642660
oct57063124
925207758
1012346964
116a73503
124175298
132733bc6
1418d58a0
15113d55e
hexbc6654

12346964 has 24 divisors (see below), whose sum is σ = 26147520. Its totient is φ = 4980096.

The previous prime is 12346931. The next prime is 12346967. The reversal of 12346964 is 46964321.

12346964 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

12346964 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12346967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12494 + ... + 13445.

It is an arithmetic number, because the mean of its divisors is an integer number (1089480).

Almost surely, 212346964 is an apocalyptic number.

12346964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12346964 is an abundant number, since it is smaller than the sum of its proper divisors (13800556).

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

12346964 is a wasteful number, since it uses less digits than its factorization.

12346964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25967 (or 25965 counting only the distinct ones).

The product of its digits is 31104, while the sum is 35.

The square root of 12346964 is about 3513.8246968225. The cubic root of 12346964 is about 231.1284431515.

The spelling of 12346964 in words is "twelve million, three hundred forty-six thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 476 25939 51878 103756 181573 363146 440963 726292 881926 1763852 3086741 6173482 12346964