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64344064 = 21223683
BaseRepresentation
bin1111010101110…
…1000000000000
311111002000110111
43311131000000
5112433002224
610215041104
71410626011
oct365350000
9144060414
1064344064
1133358714
1219670194
131043b315
14878d008
1559aed94
hex3d5d000

64344064 has 52 divisors (see below), whose sum is σ = 134463456. Its totient is φ = 30728192.

The previous prime is 64344061. The next prime is 64344079. The reversal of 64344064 is 46044346.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64344061) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 93867 + ... + 94549.

Almost surely, 264344064 is an apocalyptic number.

64344064 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 64344064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67231728).

64344064 is an abundant number, since it is smaller than the sum of its proper divisors (70119392).

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

64344064 is an equidigital number, since it uses as much as digits as its factorization.

64344064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

The square root of 64344064 is about 8021.4751760508. The cubic root of 64344064 is about 400.7155193171.

The spelling of 64344064 in words is "sixty-four million, three hundred forty-four thousand, sixty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 512 683 736 1024 1366 1472 2048 2732 2944 4096 5464 5888 10928 11776 15709 21856 23552 31418 43712 47104 62836 87424 94208 125672 174848 251344 349696 502688 699392 1005376 1398784 2010752 2797568 4021504 8043008 16086016 32172032 64344064