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684345088 = 2873197127
BaseRepresentation
bin101000110010100…
…100011100000000
31202200201022222101
4220302210130000
52400143020323
6151523520144
722646560120
oct5062443400
91680638871
10684345088
11321327659
12171229054
13aba1a92b
1466c60c80
154012ddad
hex28ca4700

684345088 has 144 divisors (see below), whose sum is σ = 1640955904. Its totient is φ = 278691840.

The previous prime is 684345083. The next prime is 684345089. The reversal of 684345088 is 880543486.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (684345083) 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, 5388481 + ... + 5388607.

Almost surely, 2684345088 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 684345088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820477952).

684345088 is an abundant number, since it is smaller than the sum of its proper divisors (956610816).

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

684345088 is a wasteful number, since it uses less digits than its factorization.

684345088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 46.

The square root of 684345088 is about 26159.9902140654. The cubic root of 684345088 is about 881.2349603053.

The spelling of 684345088 in words is "six hundred eighty-four million, three hundred forty-five thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 97 112 124 127 128 194 217 224 248 254 256 388 434 448 496 508 679 776 868 889 896 992 1016 1358 1552 1736 1778 1792 1984 2032 2716 3007 3104 3472 3556 3937 3968 4064 5432 6014 6208 6944 7112 7874 7936 8128 10864 12028 12319 12416 13888 14224 15748 16256 21049 21728 24056 24638 24832 27559 27776 28448 31496 32512 42098 43456 48112 49276 55118 55552 56896 62992 84196 86233 86912 96224 98552 110236 113792 125984 168392 172466 173824 192448 197104 220472 227584 251968 336784 344932 381889 384896 394208 440944 503936 673568 689864 763778 769792 788416 881888 1007872 1347136 1379728 1527556 1576832 1763776 2673223 2694272 2759456 3055112 3153664 3527552 5346446 5388544 5518912 6110224 7055104 10692892 11037824 12220448 21385784 22075648 24440896 42771568 48881792 85543136 97763584 171086272 342172544 684345088