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679614336 = 27325311131
BaseRepresentation
bin101000100000100…
…001011110000000
31202100210222121100
4220200201132000
52342440124321
6151234254400
722561424622
oct5040413600
91670728540
10679614336
11319696345
1216b727400
13aaa5257b
146638cc12
153e9e7326
hex28821780

679614336 has 96 divisors (see below), whose sum is σ = 1992739320. Its totient is φ = 222243840.

The previous prime is 679614329. The next prime is 679614361. The reversal of 679614336 is 633416976.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 679614291 and 679614300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55491 + ... + 66621.

Almost surely, 2679614336 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 679614336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996369660).

679614336 is an abundant number, since it is smaller than the sum of its proper divisors (1313124984).

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

679614336 is a wasteful number, since it uses less digits than its factorization.

679614336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11204 (or 11189 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 679614336 is about 26069.4138023854. The cubic root of 679614336 is about 879.1996580009.

The spelling of 679614336 in words is "six hundred seventy-nine million, six hundred fourteen thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 128 144 159 192 212 288 318 384 424 477 576 636 848 954 1152 1272 1696 1908 2544 3392 3816 5088 6784 7632 10176 11131 15264 20352 22262 30528 33393 44524 61056 66786 89048 100179 133572 178096 200358 267144 356192 400716 534288 589943 712384 801432 1068576 1179886 1424768 1602864 1769829 2137152 2359772 3205728 3539658 4274304 4719544 5309487 6411456 7079316 9439088 10618974 12822912 14158632 18878176 21237948 28317264 37756352 42475896 56634528 75512704 84951792 113269056 169903584 226538112 339807168 679614336