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12893344 = 2517137173
BaseRepresentation
bin110001001011…
…110010100000
3220021001100021
4301023302200
511300041334
61140203224
7214406632
oct61136240
926231307
1012893344
117306a62
124399514
1328957c9
1419d8a52
1511ea3b4
hexc4bca0

12893344 has 48 divisors (see below), whose sum is σ = 27229608. Its totient is φ = 5988352.

The previous prime is 12893339. The next prime is 12893347. The reversal of 12893344 is 44339821.

It can be written as a sum of positive squares in 4 ways, for example, as 12873744 + 19600 = 3588^2 + 140^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (12893347) 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, 74442 + ... + 74614.

Almost surely, 212893344 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 12893344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13614804).

12893344 is an abundant number, since it is smaller than the sum of its proper divisors (14336264).

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

12893344 is a wasteful number, since it uses less digits than its factorization.

12893344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 329 counting only the distinct ones).

The product of its digits is 20736, while the sum is 34.

The square root of 12893344 is about 3590.7302878384. The cubic root of 12893344 is about 234.4886663826.

The spelling of 12893344 in words is "twelve million, eight hundred ninety-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 137 173 272 274 346 544 548 692 1096 1384 2192 2329 2768 2941 4384 4658 5536 5882 9316 11764 18632 23528 23701 37264 47056 47402 74528 94112 94804 189608 379216 402917 758432 805834 1611668 3223336 6446672 12893344