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682344624 = 243131139677
BaseRepresentation
bin101000101010111…
…100000010110000
31202112221200212010
4220222330002300
52344140011444
6151413002520
722623555633
oct5052740260
91675850763
10682344624
11320190685
12170623440
13ab49a220
146689dc1a
153ed862b9
hex28abc0b0

682344624 has 80 divisors (see below), whose sum is σ = 1915314912. Its totient is φ = 208072704.

The previous prime is 682344557. The next prime is 682344629. The reversal of 682344624 is 426443286.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (682344629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65674 + ... + 75350.

Almost surely, 2682344624 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 682344624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957657456).

682344624 is an abundant number, since it is smaller than the sum of its proper divisors (1232970288).

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

682344624 is a wasteful number, since it uses less digits than its factorization.

682344624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9814 (or 9808 counting only the distinct ones).

The product of its digits is 221184, while the sum is 39.

The square root of 682344624 is about 26121.7270485701. The cubic root of 682344624 is about 880.3754527377.

The spelling of 682344624 in words is "six hundred eighty-two million, three hundred forty-four thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 113 156 208 226 312 339 452 624 678 904 1356 1469 1808 2712 2938 4407 5424 5876 8814 9677 11752 17628 19354 23504 29031 35256 38708 58062 70512 77416 116124 125801 154832 232248 251602 377403 464496 503204 754806 1006408 1093501 1509612 2012816 2187002 3019224 3280503 4374004 6038448 6561006 8748008 13122012 14215513 17496016 26244024 28431026 42646539 52488048 56862052 85293078 113724104 170586156 227448208 341172312 682344624