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8313344 = 29131249
BaseRepresentation
bin11111101101101000000000
3120122100202122
4133231220000
54112011334
6454103412
7130443104
oct37555000
916570678
108313344
114768a36
12294ab68
131950c50
141165904
15ae332e
hex7eda00

8313344 has 40 divisors (see below), whose sum is σ = 17902500. Its totient is φ = 3833856.

The previous prime is 8313269. The next prime is 8313353. The reversal of 8313344 is 4433138.

It can be written as a sum of positive squares in 2 ways, for example, as 7840000 + 473344 = 2800^2 + 688^2 .

It is a super-2 number, since 2×83133442 = 138223376924672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6032 + ... + 7280.

Almost surely, 28313344 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 8313344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8951250).

8313344 is an abundant number, since it is smaller than the sum of its proper divisors (9589156).

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

8313344 is a wasteful number, since it uses less digits than its factorization.

8313344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1264 counting only the distinct ones).

The product of its digits is 3456, while the sum is 26.

The square root of 8313344 is about 2883.2870131154. The cubic root of 8313344 is about 202.5778311800.

The spelling of 8313344 in words is "eight million, three hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1249 1664 2498 3328 4996 6656 9992 16237 19984 32474 39968 64948 79936 129896 159872 259792 319744 519584 639488 1039168 2078336 4156672 8313344