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34438720 = 265107621
BaseRepresentation
bin1000001101011…
…1111001000000
32101210200001011
42003113321000
532304014340
63230050304
7565503301
oct203277100
971720034
1034438720
1118492358
12b649994
13719a454
1448067a8
1530540ea
hex20d7e40

34438720 has 28 divisors (see below), whose sum is σ = 82007964. Its totient is φ = 13775360.

The previous prime is 34438693. The next prime is 34438739. The reversal of 34438720 is 2783443.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 18181696 + 16257024 = 4264^2 + 4032^2 .

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 53491 + ... + 54130.

Almost surely, 234438720 is an apocalyptic number.

It is an amenable number.

34438720 is an abundant number, since it is smaller than the sum of its proper divisors (47569244).

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

34438720 is a wasteful number, since it uses less digits than its factorization.

34438720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107638 (or 107628 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 34438720 is about 5868.4512437269. The cubic root of 34438720 is about 325.3486436105.

The spelling of 34438720 in words is "thirty-four million, four hundred thirty-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 107621 215242 430484 538105 860968 1076210 1721936 2152420 3443872 4304840 6887744 8609680 17219360 34438720