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4315344 = 243112743
BaseRepresentation
bin10000011101100011010000
322010020112120
4100131203100
52101042334
6232254240
751452115
oct20354320
98106476
104315344
112488200
121541380
13b81277
1480490c
155a3949
hex41d8d0

4315344 has 60 divisors (see below), whose sum is σ = 12270048. Its totient is φ = 1305920.

The previous prime is 4315303. The next prime is 4315349. The reversal of 4315344 is 4435134.

4315344 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4315349) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5437 + ... + 6179.

Almost surely, 24315344 is an apocalyptic number.

4315344 is a gapful number since it is divisible by the number (44) 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 4315344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6135024).

4315344 is an abundant number, since it is smaller than the sum of its proper divisors (7954704).

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

4315344 is a wasteful number, since it uses less digits than its factorization.

4315344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 759 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 4315344 is about 2077.3406076039. The cubic root of 4315344 is about 162.8065251828.

It can be divided in two parts, 431 and 5344, that added together give a palindrome (5775).

The spelling of 4315344 in words is "four million, three hundred fifteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 528 726 743 968 1452 1486 1936 2229 2904 2972 4458 5808 5944 8173 8916 11888 16346 17832 24519 32692 35664 49038 65384 89903 98076 130768 179806 196152 269709 359612 392304 539418 719224 1078836 1438448 2157672 4315344