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5329344 = 26341677
BaseRepresentation
bin10100010101000111000000
3101000202111010
4110111013000
52331014334
6310120520
763204306
oct24250700
911022433
105329344
113010019
121950140
131147977
149ca276
157040e9
hex5151c0

5329344 has 56 divisors (see below), whose sum is σ = 14465808. Its totient is φ = 1730560.

The previous prime is 5329343. The next prime is 5329351. The reversal of 5329344 is 4439235.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 57 + 34 + 219 + 92 + 312 + 45 + 411 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5329343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7534 + ... + 8210.

It is an arithmetic number, because the mean of its divisors is an integer number (258318).

Almost surely, 25329344 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 5329344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7232904).

5329344 is an abundant number, since it is smaller than the sum of its proper divisors (9136464).

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

5329344 is a wasteful number, since it uses less digits than its factorization.

5329344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 723 counting only the distinct ones).

The product of its digits is 12960, while the sum is 30.

The square root of 5329344 is about 2308.5371991805. The cubic root of 5329344 is about 174.6725195353.

The spelling of 5329344 in words is "five million, three hundred twenty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 164 192 246 328 492 656 677 984 1312 1354 1968 2031 2624 2708 3936 4062 5416 7872 8124 10832 16248 21664 27757 32496 43328 55514 64992 83271 111028 129984 166542 222056 333084 444112 666168 888224 1332336 1776448 2664672 5329344