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679668304 = 247193110303
BaseRepresentation
bin101000100000101…
…110101001010000
31202100220201122011
4220200232221100
52342443341204
6151235352304
722562041150
oct5040565120
91670821564
10679668304
11319722947
1216b752694
13aaa70cc3
14663a4760
153ea08304
hex2882ea50

679668304 has 80 divisors (see below), whose sum is σ = 1635450880. Its totient is φ = 267027840.

The previous prime is 679668293. The next prime is 679668317. The reversal of 679668304 is 403866976.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60817 + ... + 71119.

It is an arithmetic number, because the mean of its divisors is an integer number (20443136).

Almost surely, 2679668304 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 679668304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817725440).

679668304 is an abundant number, since it is smaller than the sum of its proper divisors (955782576).

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

679668304 is a wasteful number, since it uses less digits than its factorization.

679668304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10368 (or 10362 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 49.

The square root of 679668304 is about 26070.4488645669. The cubic root of 679668304 is about 879.2229297247. Note that the first 3 decimals are identical.

The spelling of 679668304 in words is "six hundred seventy-nine million, six hundred sixty-eight thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 19 28 31 38 56 62 76 112 124 133 152 217 248 266 304 434 496 532 589 868 1064 1178 1736 2128 2356 3472 4123 4712 8246 9424 10303 16492 20606 32984 41212 65968 72121 82424 144242 164848 195757 288484 319393 391514 576968 638786 783028 1153936 1277572 1370299 1566056 2235751 2555144 2740598 3132112 4471502 5110288 5481196 6068467 8943004 10962392 12136934 17886008 21924784 24273868 35772016 42479269 48547736 84958538 97095472 169917076 339834152 679668304