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64314117 = 3272413557
BaseRepresentation
bin1111010101010…
…1101100000101
311111000111101100
43311111230011
5112431022432
610214250313
71410442500
oct365255405
9144014340
1064314117
113333816a
1219656999
131042a7ba
148782137
1559a607c
hex3d55b05

64314117 has 36 divisors (see below), whose sum is σ = 110732076. Its totient is φ = 35844480.

The previous prime is 64314101. The next prime is 64314149. The reversal of 64314117 is 71141346.

It is a happy number.

64314117 is a `hidden beast` number, since 643 + 1 + 4 + 1 + 17 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5239521 + 59074596 = 2289^2 + 7686^2 .

It is not a de Polignac number, because 64314117 - 24 = 64314101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64314167) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16303 + ... + 19859.

It is an arithmetic number, because the mean of its divisors is an integer number (3075891).

Almost surely, 264314117 is an apocalyptic number.

It is an amenable number.

64314117 is a deficient number, since it is larger than the sum of its proper divisors (46417959).

64314117 is a wasteful number, since it uses less digits than its factorization.

64314117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3618 (or 3608 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 64314117 is about 8019.6082822043. The cubic root of 64314117 is about 400.6533426940.

The spelling of 64314117 in words is "sixty-four million, three hundred fourteen thousand, one hundred seventeen".

Divisors: 1 3 7 9 21 41 49 63 123 147 287 369 441 861 2009 2583 3557 6027 10671 18081 24899 32013 74697 145837 174293 224091 437511 522879 1020859 1312533 1568637 3062577 7146013 9187731 21438039 64314117