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64318644 = 22331361751
BaseRepresentation
bin1111010101011…
…0110010110100
311111000201121000
43311112302310
5112431144034
610214323300
71410461625
oct365266264
9144021530
1064318644
1133340605
1219659530
131042c890
148783a4c
1559a7599
hex3d56cb4

64318644 has 96 divisors (see below), whose sum is σ = 182766080. Its totient is φ = 19440000.

The previous prime is 64318643. The next prime is 64318651. The reversal of 64318644 is 44681346.

64318644 is a `hidden beast` number, since 6 + 4 + 3 + 1 + 8 + 644 = 666.

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 = 64318599 and 64318608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64318643) 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, 85269 + ... + 86019.

Almost surely, 264318644 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 64318644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91383040).

64318644 is an abundant number, since it is smaller than the sum of its proper divisors (118447436).

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

64318644 is a wasteful number, since it uses less digits than its factorization.

64318644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 830 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 64318644 is about 8019.8905229436. The cubic root of 64318644 is about 400.6627429895.

The spelling of 64318644 in words is "sixty-four million, three hundred eighteen thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 61 78 108 117 122 156 183 234 244 351 366 468 549 702 732 751 793 1098 1404 1502 1586 1647 2196 2253 2379 3004 3172 3294 4506 4758 6588 6759 7137 9012 9516 9763 13518 14274 19526 20277 21411 27036 28548 29289 39052 40554 42822 45811 58578 81108 85644 87867 91622 117156 137433 175734 183244 263601 274866 351468 412299 527202 549732 595543 824598 1054404 1191086 1236897 1649196 1786629 2382172 2473794 3573258 4947588 5359887 7146516 10719774 16079661 21439548 32159322 64318644