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12874344 = 2337197389
BaseRepresentation
bin110001000111…
…001001101000
3220020002021120
4301013021220
511243434334
61135535240
7214300350
oct61071150
926202246
1012874344
1172a375a
12438a520
132889c72
1419d1b60
1511e4949
hexc47268

12874344 has 64 divisors (see below), whose sum is σ = 37065600. Its totient is φ = 3650304.

The previous prime is 12874339. The next prime is 12874357. The reversal of 12874344 is 44347821.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32902 + ... + 33290.

It is an arithmetic number, because the mean of its divisors is an integer number (579150).

Almost surely, 212874344 is an apocalyptic number.

12874344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12874344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18532800).

12874344 is an abundant number, since it is smaller than the sum of its proper divisors (24191256).

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

12874344 is a wasteful number, since it uses less digits than its factorization.

12874344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 598 counting only the distinct ones).

The product of its digits is 21504, while the sum is 33.

The square root of 12874344 is about 3588.0836110659. The cubic root of 12874344 is about 234.3734266917.

The spelling of 12874344 in words is "twelve million, eight hundred seventy-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 197 389 394 591 778 788 1167 1182 1379 1556 1576 2334 2364 2723 2758 3112 4137 4668 4728 5446 5516 8169 8274 9336 10892 11032 16338 16548 21784 32676 33096 65352 76633 153266 229899 306532 459798 536431 613064 919596 1072862 1609293 1839192 2145724 3218586 4291448 6437172 12874344