Search a number
-
+
680243634 = 2327137157251
BaseRepresentation
bin101000100010111…
…011000110110010
31202101222221211200
4220202323012302
52343120244014
6151255552030
722566655410
oct5042730662
91671887750
10680243634
11319a86124
1216b98b616
13aac12b35
14664b42b0
153eabda09
hex288bb1b2

680243634 has 96 divisors (see below), whose sum is σ = 1714317696. Its totient is φ = 190944000.

The previous prime is 680243609. The next prime is 680243639. The reversal of 680243634 is 436342086.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (680243639) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2710009 + ... + 2710259.

It is an arithmetic number, because the mean of its divisors is an integer number (17857476).

Almost surely, 2680243634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680243634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857158848).

680243634 is an abundant number, since it is smaller than the sum of its proper divisors (1034074062).

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

680243634 is a wasteful number, since it uses less digits than its factorization.

680243634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 680243634 is about 26081.4806711582. The cubic root of 680243634 is about 879.4709431858.

The spelling of 680243634 in words is "six hundred eighty million, two hundred forty-three thousand, six hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 137 157 251 274 314 411 471 502 753 822 942 959 1099 1233 1413 1506 1757 1918 2198 2259 2466 2826 2877 3297 3514 4518 5271 5754 6594 8631 9891 10542 15813 17262 19782 21509 31626 34387 39407 43018 64527 68774 78814 103161 118221 129054 150563 193581 206322 236442 240709 275849 301126 309483 354663 387162 451689 481418 551698 618966 709326 722127 827547 903378 1355067 1444254 1655094 2166381 2482641 2710134 4332762 4965282 5398759 10797518 16196277 32392554 37791313 48588831 75582626 97177662 113373939 226747878 340121817 680243634