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34057392 = 2431741737
BaseRepresentation
bin1000000111101…
…0110010110000
32101002021221220
42001322302300
532204314032
63213545040
7562324455
oct201726260
971067856
1034057392
1118251906
12b4a5180
137095a05
14474782c
152ecb12c
hex207acb0

34057392 has 40 divisors (see below), whose sum is σ = 93159216. Its totient is φ = 10684416.

The previous prime is 34057391. The next prime is 34057393. The reversal of 34057392 is 29375043.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34057391) and next prime (34057393).

It is not an unprimeable number, because it can be changed into a prime (34057391) 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 7 ways as a sum of consecutive naturals, for example, 20053 + ... + 21684.

Almost surely, 234057392 is an apocalyptic number.

It is an amenable number.

34057392 is an abundant number, since it is smaller than the sum of its proper divisors (59101824).

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

34057392 is a wasteful number, since it uses less digits than its factorization.

34057392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41765 (or 41759 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 34057392 is about 5835.8711431970. The cubic root of 34057392 is about 324.1433598171.

The spelling of 34057392 in words is "thirty-four million, fifty-seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 41737 83474 125211 166948 250422 333896 500844 667792 709529 1001688 1419058 2003376 2128587 2838116 4257174 5676232 8514348 11352464 17028696 34057392