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638314164 = 2232171042997
BaseRepresentation
bin100110000010111…
…110011010110100
31122111002201102100
4212002332122310
52301402023124
6143201142100
721550403145
oct4602763264
91574081370
10638314164
112a8347974
1215992a930
13a2321cb7
1460abbacc
153b08a1c9
hex260be6b4

638314164 has 36 divisors (see below), whose sum is σ = 1708430724. Its totient is φ = 200255232.

The previous prime is 638314163. The next prime is 638314219. The reversal of 638314164 is 461413836.

It is a happy number.

638314164 is a `hidden beast` number, since 638 + 3 + 1 + 4 + 16 + 4 = 666.

638314164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 228251664 + 410062500 = 15108^2 + 20250^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (638314163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 520887 + ... + 522110.

It is an arithmetic number, because the mean of its divisors is an integer number (47456409).

Almost surely, 2638314164 is an apocalyptic number.

It is an amenable number.

638314164 is an abundant number, since it is smaller than the sum of its proper divisors (1070116560).

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

638314164 is a wasteful number, since it uses less digits than its factorization.

638314164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043024 (or 1043019 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 638314164 is about 25264.8800511698. The cubic root of 638314164 is about 861.0165390762.

The spelling of 638314164 in words is "six hundred thirty-eight million, three hundred fourteen thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 1042997 2085994 3128991 4171988 6257982 9386973 12515964 17730949 18773946 35461898 37547892 53192847 70923796 106385694 159578541 212771388 319157082 638314164