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18297344 = 29132749
BaseRepresentation
bin100010111001…
…1001000000000
31021102121020102
41011303020000
514141003334
61452101532
7311345012
oct105631000
937377212
1018297344
11a36807a
1261648a8
133a38440
1426041b2
15191667e
hex1173200

18297344 has 40 divisors (see below), whose sum is σ = 39385500. Its totient is φ = 8441856.

The previous prime is 18297313. The next prime is 18297359. The reversal of 18297344 is 44379281.

It can be written as a sum of positive squares in 2 ways, for example, as 15366400 + 2930944 = 3920^2 + 1712^2 .

It is a junction number, because it is equal to n+sod(n) for n = 18297298 and 18297307.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5282 + ... + 8030.

Almost surely, 218297344 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 18297344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19692750).

18297344 is an abundant number, since it is smaller than the sum of its proper divisors (21088156).

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

18297344 is an equidigital number, since it uses as much as digits as its factorization.

18297344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2780 (or 2764 counting only the distinct ones).

The product of its digits is 48384, while the sum is 38.

The square root of 18297344 is about 4277.5394796542. The cubic root of 18297344 is about 263.5093427094.

The spelling of 18297344 in words is "eighteen million, two hundred ninety-seven thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1664 2749 3328 5498 6656 10996 21992 35737 43984 71474 87968 142948 175936 285896 351872 571792 703744 1143584 1407488 2287168 4574336 9148672 18297344