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64969344 = 2733111709
BaseRepresentation
bin1111011111010…
…1101010000000
311112020210012000
43313311222000
5113113004334
610240304000
71416141666
oct367655200
9145223160
1064969344
1133745480
1219912000
13105c9acb
1488b2c36
155a85299
hex3df5a80

64969344 has 128 divisors (see below), whose sum is σ = 209304000. Its totient is φ = 19676160.

The previous prime is 64969327. The next prime is 64969349. The reversal of 64969344 is 44396946.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 64969344.

It is not an unprimeable number, because it can be changed into a prime (64969349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37162 + ... + 38870.

Almost surely, 264969344 is an apocalyptic number.

64969344 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 64969344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104652000).

64969344 is an abundant number, since it is smaller than the sum of its proper divisors (144334656).

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

64969344 is a wasteful number, since it uses less digits than its factorization.

64969344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1743 (or 1725 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 64969344 is about 8060.3563196673. The cubic root of 64969344 is about 402.0093559863.

The spelling of 64969344 in words is "sixty-four million, nine hundred sixty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 264 288 297 352 384 396 432 528 576 594 704 792 864 1056 1152 1188 1408 1584 1709 1728 2112 2376 3168 3418 3456 4224 4752 5127 6336 6836 9504 10254 12672 13672 15381 18799 19008 20508 27344 30762 37598 38016 41016 46143 54688 56397 61524 75196 82032 92286 109376 112794 123048 150392 164064 169191 184572 218752 225588 246096 300784 328128 338382 369144 451176 492192 507573 601568 656256 676764 738288 902352 984384 1015146 1203136 1353528 1476576 1804704 1968768 2030292 2406272 2707056 2953152 3609408 4060584 5414112 5906304 7218816 8121168 10828224 16242336 21656448 32484672 64969344