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64327014 = 2331779887
BaseRepresentation
bin1111010101100…
…0110101100110
311111001011002000
43311120311212
5112431431024
610214430130
71410525213
oct365306546
9144034060
1064327014
1133346924
1219662346
131043362b
148786b0a
1559a9cc9
hex3d58d66

64327014 has 64 divisors (see below), whose sum is σ = 153446400. Its totient is φ = 19903104.

The previous prime is 64327013. The next prime is 64327037. The reversal of 64327014 is 41072346.

64327014 is a `hidden beast` number, since 643 + 2 + 7 + 0 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64327013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72079 + ... + 72965.

It is an arithmetic number, because the mean of its divisors is an integer number (2397600).

Almost surely, 264327014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64327014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76723200).

64327014 is an abundant number, since it is smaller than the sum of its proper divisors (89119386).

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

64327014 is a wasteful number, since it uses less digits than its factorization.

64327014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 64327014 is about 8020.4123335400. The cubic root of 64327014 is about 400.6801220961.

The spelling of 64327014 in words is "sixty-four million, three hundred twenty-seven thousand, fourteen".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 79 102 153 158 237 306 459 474 711 887 918 1343 1422 1774 2133 2661 2686 4029 4266 5322 7983 8058 12087 15079 15966 23949 24174 30158 36261 45237 47898 70073 72522 90474 135711 140146 210219 271422 407133 420438 630657 814266 1191241 1261314 1891971 2382482 3573723 3783942 7147446 10721169 21442338 32163507 64327014