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34638020 = 22510915889
BaseRepresentation
bin1000010000100…
…0100011000100
32102011210102122
42010020203010
532331404040
63234225112
7600263324
oct204104304
972153378
1034638020
111860906a
12b725198
13723a091
144859284
1530931b5
hex21088c4

34638020 has 24 divisors (see below), whose sum is σ = 73411800. Its totient is φ = 13727232.

The previous prime is 34638011. The next prime is 34638047. The reversal of 34638020 is 2083643.

It can be written as a sum of positive squares in 4 ways, for example, as 2534464 + 32103556 = 1592^2 + 5666^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5765 + ... + 10124.

It is an arithmetic number, because the mean of its divisors is an integer number (3058825).

Almost surely, 234638020 is an apocalyptic number.

It is an amenable number.

34638020 is an abundant number, since it is smaller than the sum of its proper divisors (38773780).

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

34638020 is a wasteful number, since it uses less digits than its factorization.

34638020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16007 (or 16005 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 34638020 is about 5885.4073775738. The cubic root of 34638020 is about 325.9750441960.

The spelling of 34638020 in words is "thirty-four million, six hundred thirty-eight thousand, twenty".

Divisors: 1 2 4 5 10 20 109 218 436 545 1090 2180 15889 31778 63556 79445 158890 317780 1731901 3463802 6927604 8659505 17319010 34638020