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64314063 = 32111135749
BaseRepresentation
bin1111010101010…
…1101011001111
311111000111022100
43311111223033
5112431022223
610214250143
71410442362
oct365255317
9144014270
1064314063
1133338120
1219656953
131042a778
1487820d9
1559a6043
hex3d55acf

64314063 has 24 divisors (see below), whose sum is σ = 102258000. Its totient is φ = 38626560.

The previous prime is 64314059. The next prime is 64314079. The reversal of 64314063 is 36041346.

64314063 is a `hidden beast` number, since 643 + 14 + 0 + 6 + 3 = 666.

It is not a de Polignac number, because 64314063 - 22 = 64314059 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64314013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8313 + ... + 14061.

It is an arithmetic number, because the mean of its divisors is an integer number (4260750).

Almost surely, 264314063 is an apocalyptic number.

64314063 is a deficient number, since it is larger than the sum of its proper divisors (37943937).

64314063 is a wasteful number, since it uses less digits than its factorization.

64314063 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5879 (or 5876 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 64314063 is about 8019.6049154556. The cubic root of 64314063 is about 400.6532305605.

It can be divided in two parts, 643 and 14063, that added together give a triangular number (14706 = T171).

The spelling of 64314063 in words is "sixty-four million, three hundred fourteen thousand, sixty-three".

Divisors: 1 3 9 11 33 99 113 339 1017 1243 3729 5749 11187 17247 51741 63239 189717 569151 649637 1948911 5846733 7146007 21438021 64314063