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687805344 = 2534443599
BaseRepresentation
bin101000111111110…
…001001110100000
31202221020010120000
4220333301032200
52402034232334
6152130020000
723021151252
oct5077611640
91687203500
10687805344
11323280376
12172417600
13ac65c915
14674c1cd2
15405b4299
hex28ff13a0

687805344 has 120 divisors (see below), whose sum is σ = 2030767200. Its totient is φ = 228369024.

The previous prime is 687805337. The next prime is 687805373. The reversal of 687805344 is 443508786.

687805344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 687805344.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1147957 + ... + 1148555.

It is an arithmetic number, because the mean of its divisors is an integer number (16923060).

Almost surely, 2687805344 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 687805344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015383600).

687805344 is an abundant number, since it is smaller than the sum of its proper divisors (1342961856).

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

687805344 is a wasteful number, since it uses less digits than its factorization.

687805344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 687805344 is about 26226.0432394976. The cubic root of 687805344 is about 882.7177276052.

The spelling of 687805344 in words is "six hundred eighty-seven million, eight hundred five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 443 599 648 864 886 1198 1296 1329 1772 1797 2396 2592 2658 3544 3594 3987 4792 5316 5391 7088 7188 7974 9584 10632 10782 11961 14176 14376 15948 16173 19168 21264 21564 23922 28752 31896 32346 35883 42528 43128 47844 48519 57504 63792 64692 71766 86256 95688 97038 127584 129384 143532 172512 191376 194076 258768 265357 287064 382752 388152 517536 530714 574128 776304 796071 1061428 1148256 1552608 1592142 2122856 2388213 3184284 4245712 4776426 6368568 7164639 8491424 9552852 12737136 14329278 19105704 21493917 25474272 28658556 38211408 42987834 57317112 76422816 85975668 114634224 171951336 229268448 343902672 687805344