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10338642 = 2324114009
BaseRepresentation
bin100111011100…
…000101010010
3201110020221200
4213130011102
510121314032
61005332030
7153606546
oct47340522
921406850
1010338642
115921636
123567016
1321aca52
141531a26
15d9347c
hex9dc152

10338642 has 24 divisors (see below), whose sum is σ = 22948380. Its totient is φ = 3361920.

The previous prime is 10338623. The next prime is 10338649. The reversal of 10338642 is 24683301.

It is a happy number.

10338642 is a `hidden beast` number, since 10 + 3 + 3 + 8 + 642 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10169721 + 168921 = 3189^2 + 411^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (10338649) 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 11 ways as a sum of consecutive naturals, for example, 6267 + ... + 7742.

Almost surely, 210338642 is an apocalyptic number.

10338642 is an abundant number, since it is smaller than the sum of its proper divisors (12609738).

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

10338642 is a wasteful number, since it uses less digits than its factorization.

10338642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14058 (or 14055 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 10338642 is about 3215.3758722737. The cubic root of 10338642 is about 217.8484624278.

The spelling of 10338642 in words is "ten million, three hundred thirty-eight thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 41 82 123 246 369 738 14009 28018 42027 84054 126081 252162 574369 1148738 1723107 3446214 5169321 10338642