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64717344 = 25321911827
BaseRepresentation
bin1111011011100…
…0001000100000
311111202222111200
43312320020200
5113031423334
610231041200
71414042206
oct366701040
9144688450
1064717344
113359310a
1219810200
131053c1b3
148849076
155a35799
hex3db8220

64717344 has 72 divisors (see below), whose sum is σ = 193742640. Its totient is φ = 20435328.

The previous prime is 64717321. The next prime is 64717361. The reversal of 64717344 is 44371746.

It is a happy number.

64717344 is a `hidden beast` number, since 647 + 1 + 7 + 3 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×647173442 = 8376669228828672, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 64717299 and 64717308.

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, 442 + ... + 11385.

It is an arithmetic number, because the mean of its divisors is an integer number (2690870).

Almost surely, 264717344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64717344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96871320).

64717344 is an abundant number, since it is smaller than the sum of its proper divisors (129025296).

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

64717344 is a wasteful number, since it uses less digits than its factorization.

64717344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11862 (or 11851 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 64717344 is about 8044.7090686985. The cubic root of 64717344 is about 401.4889176011.

The spelling of 64717344 in words is "sixty-four million, seven hundred seventeen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 11827 23654 35481 47308 70962 94616 106443 141924 189232 212886 224713 283848 378464 425772 449426 567696 674139 851544 898852 1135392 1348278 1703088 1797704 2022417 2696556 3406176 3595408 4044834 5393112 7190816 8089668 10786224 16179336 21572448 32358672 64717344