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12934464 = 2632329101
BaseRepresentation
bin110001010101…
…110101000000
3220100010202020
4301111311000
511302400324
61141121440
7214640544
oct61256500
926303666
1012934464
117334944
1243b9280
1328ab43a
141a09a24
151207679
hexc55d40

12934464 has 112 divisors (see below), whose sum is σ = 37307520. Its totient is φ = 3942400.

The previous prime is 12934463. The next prime is 12934469. The reversal of 12934464 is 46443921.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12934463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128014 + ... + 128114.

Almost surely, 212934464 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 12934464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18653760).

12934464 is an abundant number, since it is smaller than the sum of its proper divisors (24373056).

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

12934464 is a wasteful number, since it uses less digits than its factorization.

12934464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 158 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 12934464 is about 3596.4515845483. The cubic root of 12934464 is about 234.7376822488.

The spelling of 12934464 in words is "twelve million, nine hundred thirty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 32 46 48 58 64 69 87 92 96 101 116 138 174 184 192 202 232 276 303 348 368 404 464 552 606 667 696 736 808 928 1104 1212 1334 1392 1472 1616 1856 2001 2208 2323 2424 2668 2784 2929 3232 4002 4416 4646 4848 5336 5568 5858 6464 6969 8004 8787 9292 9696 10672 11716 13938 16008 17574 18584 19392 21344 23432 27876 32016 35148 37168 42688 46864 55752 64032 67367 70296 74336 93728 111504 128064 134734 140592 148672 187456 202101 223008 269468 281184 404202 446016 538936 562368 808404 1077872 1616808 2155744 3233616 4311488 6467232 12934464