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12946304 = 27714449
BaseRepresentation
bin110001011000…
…101110000000
3220100201222202
4301120232000
511303240204
61141252332
7215020220
oct61305600
926321882
1012946304
117342828
1244040a8
1328b3947
141a10080
15120ae1e
hexc58b80

12946304 has 32 divisors (see below), whose sum is σ = 29478000. Its totient is φ = 5548032.

The previous prime is 12946303. The next prime is 12946319. The reversal of 12946304 is 40364921.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12946301) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6329 + ... + 8120.

Almost surely, 212946304 is an apocalyptic number.

12946304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12946304 is an abundant number, since it is smaller than the sum of its proper divisors (16531696).

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

12946304 is an equidigital number, since it uses as much as digits as its factorization.

12946304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14470 (or 14458 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 12946304 is about 3598.0972749496. The cubic root of 12946304 is about 234.8092854362.

The spelling of 12946304 in words is "twelve million, nine hundred forty-six thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 14449 28898 57796 101143 115592 202286 231184 404572 462368 809144 924736 1618288 1849472 3236576 6473152 12946304