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684109296 = 243213228111
BaseRepresentation
bin101000110001101…
…010110111110000
31202200021100112100
4220301222313300
52400112444141
6151514500400
722644555513
oct5061526760
91680240470
10684109296
11321186492
12171134700
13ab967500
1466bdcd7a
15400d40b6
hex28c6adf0

684109296 has 90 divisors (see below), whose sum is σ = 2073231888. Its totient is φ = 210487680.

The previous prime is 684109289. The next prime is 684109301. The reversal of 684109296 is 692901486.

It is a happy number.

684109296 is a `hidden beast` number, since 68 + 410 + 92 + 96 = 666.

684109296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10281 + ... + 38391.

Almost surely, 2684109296 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 684109296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036615944).

684109296 is an abundant number, since it is smaller than the sum of its proper divisors (1389122592).

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

684109296 is a wasteful number, since it uses less digits than its factorization.

684109296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28151 (or 28129 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 684109296 is about 26155.4830962840. The cubic root of 684109296 is about 881.1337384576.

The spelling of 684109296 in words is "six hundred eighty-four million, one hundred nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 169 208 234 312 338 468 507 624 676 936 1014 1352 1521 1872 2028 2704 3042 4056 6084 8112 12168 24336 28111 56222 84333 112444 168666 224888 252999 337332 365443 449776 505998 674664 730886 1011996 1096329 1349328 1461772 2023992 2192658 2923544 3288987 4047984 4385316 4750759 5847088 6577974 8770632 9501518 13155948 14252277 17541264 19003036 26311896 28504554 38006072 42756831 52623792 57009108 76012144 85513662 114018216 171027324 228036432 342054648 684109296