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64344 = 2337383
BaseRepresentation
bin1111101101011000
310021021010
433231120
54024334
61213520
7355410
oct175530
9107233
1064344
1144385
12312a0
1323397
1419640
15140e9
hexfb58

64344 has 32 divisors (see below), whose sum is σ = 184320. Its totient is φ = 18336.

The previous prime is 64333. The next prime is 64373. The reversal of 64344 is 44346.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 64344.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 64344.

It is an unprimeable number.

64344 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24 + ... + 359.

It is an arithmetic number, because the mean of its divisors is an integer number (5760).

264344 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 64344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92160).

64344 is an abundant number, since it is smaller than the sum of its proper divisors (119976).

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

64344 is a wasteful number, since it uses less digits than its factorization.

64344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 395 counting only the distinct ones).

The product of its digits is 1152, while the sum is 21.

The square root of 64344 is about 253.6611913557. The cubic root of 64344 is about 40.0715386459.

The spelling of 64344 in words is "sixty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 383 766 1149 1532 2298 2681 3064 4596 5362 8043 9192 10724 16086 21448 32172 64344