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10339344 = 2432193779
BaseRepresentation
bin100111011100…
…010000010000
3201110021220200
4213130100100
510121324334
61005335200
7153611601
oct47342020
921407820
1010339344
115922114
123567500
1321b0172
141531da8
15d93799
hex9dc410

10339344 has 60 divisors (see below), whose sum is σ = 30466800. Its totient is φ = 3264192.

The previous prime is 10339333. The next prime is 10339361. The reversal of 10339344 is 44393301.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 847 + ... + 4625.

It is an arithmetic number, because the mean of its divisors is an integer number (507780).

Almost surely, 210339344 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 10339344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15233400).

10339344 is an abundant number, since it is smaller than the sum of its proper divisors (20127456).

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

10339344 is a wasteful number, since it uses less digits than its factorization.

10339344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3812 (or 3803 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 10339344 is about 3215.4850333970. The cubic root of 10339344 is about 217.8533929967.

The spelling of 10339344 in words is "ten million, three hundred thirty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 3779 7558 11337 15116 22674 30232 34011 45348 60464 68022 71801 90696 136044 143602 181392 215403 272088 287204 430806 544176 574408 646209 861612 1148816 1292418 1723224 2584836 3446448 5169672 10339344