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67663314 = 23212729599
BaseRepresentation
bin1000000100001…
…11010111010010
311201022122121200
410002013113102
5114310211224
610414132030
71451062065
oct402072722
9151278550
1067663314
11352154a4
121a7b1016
1311031084
148db48dc
155e185c9
hex40875d2

67663314 has 24 divisors (see below), whose sum is σ = 147763200. Its totient is φ = 22376088.

The previous prime is 67663303. The next prime is 67663331. The reversal of 67663314 is 41336676.

It is a happy number.

67663314 is a `hidden beast` number, since 6 + 7 + 6 + 633 + 14 = 666.

It is a super-2 number, since 2×676633142 = 9156648122925192, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 12514 + ... + 17085.

It is an arithmetic number, because the mean of its divisors is an integer number (6156800).

Almost surely, 267663314 is an apocalyptic number.

67663314 is an abundant number, since it is smaller than the sum of its proper divisors (80099886).

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

67663314 is a wasteful number, since it uses less digits than its factorization.

67663314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29734 (or 29731 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 67663314 is about 8225.7713316138. The cubic root of 67663314 is about 407.4907501633.

The spelling of 67663314 in words is "sixty-seven million, six hundred sixty-three thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 127 254 381 762 1143 2286 29599 59198 88797 177594 266391 532782 3759073 7518146 11277219 22554438 33831657 67663314