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684941712 = 243713233673
BaseRepresentation
bin101000110100110…
…110000110010000
31202201211122101120
4220310312012100
52400321113322
6151544402240
722654623420
oct5064660620
91681748346
10684941712
113216a4934
12171476380
13abb99370
1466d78480
15401eaa5c
hex28d36190

684941712 has 160 divisors (see below), whose sum is σ = 2190359808. Its totient is φ = 179601408.

The previous prime is 684941707. The next prime is 684941717. The reversal of 684941712 is 217149486.

It is an interprime number because it is at equal distance from previous prime (684941707) and next prime (684941717).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (684941717) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1017408 + ... + 1018080.

Almost surely, 2684941712 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 684941712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095179904).

684941712 is an abundant number, since it is smaller than the sum of its proper divisors (1505418096).

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

684941712 is a wasteful number, since it uses less digits than its factorization.

684941712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937 (or 931 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 684941712 is about 26171.3910979145. The cubic root of 684941712 is about 881.4909779293.

The spelling of 684941712 in words is "six hundred eighty-four million, nine hundred forty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 233 273 312 336 364 466 546 624 673 699 728 932 1092 1346 1398 1456 1631 1864 2019 2184 2692 2796 3029 3262 3728 4038 4368 4711 4893 5384 5592 6058 6524 8076 8749 9087 9422 9786 10768 11184 12116 13048 14133 16152 17498 18174 18844 19572 21203 24232 26096 26247 28266 32304 34996 36348 37688 39144 42406 48464 52494 56532 61243 63609 69992 72696 75376 78288 84812 104988 113064 122486 127218 139984 145392 156809 169624 183729 209976 226128 244972 254436 313618 339248 367458 419952 470427 489944 508872 627236 734916 940854 979888 1017744 1097663 1254472 1469832 1881708 2038517 2195326 2508944 2939664 3292989 3763416 4077034 4390652 6115551 6585978 7526832 8154068 8781304 12231102 13171956 14269619 16308136 17562608 24462204 26343912 28539238 32616272 42808857 48924408 52687824 57078476 85617714 97848816 114156952 171235428 228313904 342470856 684941712