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64380864 = 2632361239
BaseRepresentation
bin1111010110010…
…1111111000000
311111010212221110
43311211333000
5112440141424
610215523320
71411141212
oct365457700
9144125843
1064380864
1133383329
1219689540
1310451cb2
14879c5b2
1559bac29
hex3d65fc0

64380864 has 112 divisors (see below), whose sum is σ = 181416960. Its totient is φ = 20106240.

The previous prime is 64380857. The next prime is 64380881. The reversal of 64380864 is 46808346.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 269257 + ... + 269495.

Almost surely, 264380864 is an apocalyptic number.

64380864 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64380864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90708480).

64380864 is an abundant number, since it is smaller than the sum of its proper divisors (117036096).

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

64380864 is a wasteful number, since it uses less digits than its factorization.

64380864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 64380864 is about 8023.7686905842. The cubic root of 64380864 is about 400.7918978765.

The spelling of 64380864 in words is "sixty-four million, three hundred eighty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 61 64 69 92 96 122 138 183 184 192 239 244 276 366 368 478 488 552 717 732 736 956 976 1104 1403 1434 1464 1472 1912 1952 2208 2806 2868 2928 3824 3904 4209 4416 5497 5612 5736 5856 7648 8418 10994 11224 11472 11712 14579 15296 16491 16836 21988 22448 22944 29158 32982 33672 43737 43976 44896 45888 58316 65964 67344 87474 87952 89792 116632 131928 134688 174948 175904 233264 263856 269376 335317 349896 351808 466528 527712 670634 699792 933056 1005951 1055424 1341268 1399584 2011902 2682536 2799168 4023804 5365072 8047608 10730144 16095216 21460288 32190432 64380864