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102331344 = 24337157367
BaseRepresentation
bin1100001100101…
…11001111010000
321010112222012210
412012113033100
5202144100334
614053152120
72351542053
oct606271720
9233488183
10102331344
1152844065
122a32b640
131827b9bb
14d83aa9a
158eb55e9
hex61973d0

102331344 has 80 divisors (see below), whose sum is σ = 273974528. Its totient is φ = 32887296.

The previous prime is 102331319. The next prime is 102331379. The reversal of 102331344 is 443133201.

It is a self number, because there is not a number n which added to its sum of digits gives 102331344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 278649 + ... + 279015.

Almost surely, 2102331344 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 102331344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136987264).

102331344 is an abundant number, since it is smaller than the sum of its proper divisors (171643184).

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

102331344 is a wasteful number, since it uses less digits than its factorization.

102331344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 102331344 is about 10115.8956103748. The cubic root of 102331344 is about 467.7382567368.

Adding to 102331344 its reverse (443133201), we get a palindrome (545464545).

The spelling of 102331344 in words is "one hundred two million, three hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 157 222 296 314 367 444 471 592 628 734 888 942 1101 1256 1468 1776 1884 2202 2512 2936 3768 4404 5809 5872 7536 8808 11618 13579 17427 17616 23236 27158 34854 40737 46472 54316 57619 69708 81474 92944 108632 115238 139416 162948 172857 217264 230476 278832 325896 345714 460952 651792 691428 921904 1382856 2131903 2765712 4263806 6395709 8527612 12791418 17055224 25582836 34110448 51165672 102331344