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12434912 = 257431291
BaseRepresentation
bin101111011011…
…110111100000
3212101202111022
4233123313200
511140404122
61122305012
7210460250
oct57336740
925352438
1012434912
117023596
1241b8168
132764c49
141919960
151159642
hexbdbde0

12434912 has 48 divisors (see below), whose sum is σ = 28651392. Its totient is φ = 5201280.

The previous prime is 12434897. The next prime is 12434921. The reversal of 12434912 is 21943421.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8987 + ... + 10277.

It is an arithmetic number, because the mean of its divisors is an integer number (596904).

Almost surely, 212434912 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 12434912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14325696).

12434912 is an abundant number, since it is smaller than the sum of its proper divisors (16216480).

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

12434912 is a wasteful number, since it uses less digits than its factorization.

12434912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1343 counting only the distinct ones).

The product of its digits is 1728, while the sum is 26.

The square root of 12434912 is about 3526.3170589157. The cubic root of 12434912 is about 231.6759248467.

The spelling of 12434912 in words is "twelve million, four hundred thirty-four thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 86 112 172 224 301 344 602 688 1204 1291 1376 2408 2582 4816 5164 9037 9632 10328 18074 20656 36148 41312 55513 72296 111026 144592 222052 289184 388591 444104 777182 888208 1554364 1776416 3108728 6217456 12434912