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682225344 = 26321398521
BaseRepresentation
bin101000101010011…
…110111011000000
31202112201122020100
4220222132323000
52344122202334
6151410242400
722622551113
oct5052367300
91675648210
10682225344
11320109aa9
12170586400
13ab457b48
146686c57a
153ed60c99
hex28a9eec0

682225344 has 84 divisors (see below), whose sum is σ = 1969775080. Its totient is φ = 225745920.

The previous prime is 682225301. The next prime is 682225361. The reversal of 682225344 is 443522286.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 682225299 and 682225308.

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, 75804 + ... + 84324.

Almost surely, 2682225344 is an apocalyptic number.

682225344 is a gapful number since it is divisible by the number (64) 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 682225344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984887540).

682225344 is an abundant number, since it is smaller than the sum of its proper divisors (1287549736).

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

682225344 is a wasteful number, since it uses less digits than its factorization.

682225344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8678 (or 8665 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 682225344 is about 26119.4437919340. The cubic root of 682225344 is about 880.3241505560.

The spelling of 682225344 in words is "six hundred eighty-two million, two hundred twenty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 139 144 192 278 288 417 556 576 834 1112 1251 1668 2224 2502 3336 4448 5004 6672 8521 8896 10008 13344 17042 20016 25563 26688 34084 40032 51126 68168 76689 80064 102252 136336 153378 204504 272672 306756 409008 545344 613512 818016 1184419 1227024 1636032 2368838 2454048 3553257 4737676 4908096 7106514 9475352 10659771 14213028 18950704 21319542 28426056 37901408 42639084 56852112 75802816 85278168 113704224 170556336 227408448 341112672 682225344