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12338128 = 241126373
BaseRepresentation
bin101111000100…
…001111010000
3212012211201201
4233010033100
511124310003
61120240544
7206605135
oct57041720
925184651
1012338128
116a67900
124170154
13272cb8a
1418d258c
15113ab1d
hexbc43d0

12338128 has 30 divisors (see below), whose sum is σ = 26280002. Its totient is φ = 5607360.

The previous prime is 12338101. The next prime is 12338129. The reversal of 12338128 is 82183321.

It can be written as a sum of positive squares in only one way, i.e., 11778624 + 559504 = 3432^2 + 748^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12338096 and 12338105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12338129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1251 + ... + 5122.

Almost surely, 212338128 is an apocalyptic number.

It is an amenable number.

12338128 is an abundant number, since it is smaller than the sum of its proper divisors (13941874).

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

12338128 is a wasteful number, since it uses less digits than its factorization.

12338128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6403 (or 6386 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

The square root of 12338128 is about 3512.5671523830. The cubic root of 12338128 is about 231.0732949577.

The spelling of 12338128 in words is "twelve million, three hundred thirty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 6373 12746 25492 50984 70103 101968 140206 280412 560824 771133 1121648 1542266 3084532 6169064 12338128