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12338424 = 2332724481
BaseRepresentation
bin101111000100…
…010011111000
3212012212010200
4233010103320
511124312144
61120242200
7206606040
oct57042370
925185120
1012338424
116a6804a
124170360
132730057
1418d2720
15113ac69
hexbc44f8

12338424 has 48 divisors (see below), whose sum is σ = 38191920. Its totient is φ = 3525120.

The previous prime is 12338423. The next prime is 12338437. The reversal of 12338424 is 42483321.

12338424 is a `hidden beast` number, since 1 + 233 + 8 + 424 = 666.

12338424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12338423) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11737 + ... + 12744.

It is an arithmetic number, because the mean of its divisors is an integer number (795665).

Almost surely, 212338424 is an apocalyptic number.

12338424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12338424 is an abundant number, since it is smaller than the sum of its proper divisors (25853496).

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

12338424 is a wasteful number, since it uses less digits than its factorization.

12338424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24500 (or 24493 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 12338424 is about 3512.6092865561. The cubic root of 12338424 is about 231.0751428109.

The spelling of 12338424 in words is "twelve million, three hundred thirty-eight thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 24481 48962 73443 97924 146886 171367 195848 220329 293772 342734 440658 514101 587544 685468 881316 1028202 1370936 1542303 1762632 2056404 3084606 4112808 6169212 12338424