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64344432 = 24323167349
BaseRepresentation
bin1111010101110…
…1000101110000
311111002000222010
43311131011300
5112433010212
610215042520
71410630045
oct365350560
9144060863
1064344432
1133358a19
1219670440
131043b539
14878d1cc
1559b003c
hex3d5d170

64344432 has 80 divisors (see below), whose sum is σ = 174988800. Its totient is φ = 20334336.

The previous prime is 64344403. The next prime is 64344433. The reversal of 64344432 is 23444346.

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 64344432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64344433) 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, 184194 + ... + 184542.

It is an arithmetic number, because the mean of its divisors is an integer number (2187360).

Almost surely, 264344432 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 64344432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87494400).

64344432 is an abundant number, since it is smaller than the sum of its proper divisors (110644368).

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

64344432 is a wasteful number, since it uses less digits than its factorization.

64344432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 544 counting only the distinct ones).

The product of its digits is 27648, while the sum is 30.

The square root of 64344432 is about 8021.4981144422. The cubic root of 64344432 is about 400.7162832468.

Adding to 64344432 its reverse (23444346), we get a palindrome (87788778).

The spelling of 64344432 in words is "sixty-four million, three hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 167 184 276 334 349 368 501 552 668 698 1002 1047 1104 1336 1396 2004 2094 2672 2792 3841 4008 4188 5584 7682 8016 8027 8376 11523 15364 16054 16752 23046 24081 30728 32108 46092 48162 58283 61456 64216 92184 96324 116566 128432 174849 184368 192648 233132 349698 385296 466264 699396 932528 1340509 1398792 2681018 2797584 4021527 5362036 8043054 10724072 16086108 21448144 32172216 64344432