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676313360 = 24519312463
BaseRepresentation
bin101000010011111…
…011100100010000
31202010121021111222
4220103323210100
52341114011420
6151035424212
722521366032
oct5023734420
91663537458
10676313360
11317841268
1216a5b5068
13aa167c28
1465b6dc52
153e594225
hex284fb910

676313360 has 120 divisors (see below), whose sum is σ = 1713997440. Its totient is φ = 247484160.

The previous prime is 676313359. The next prime is 676313369. The reversal of 676313360 is 63313676.

It is a self number, because there is not a number n which added to its sum of digits gives 676313360.

It is not an unprimeable number, because it can be changed into a prime (676313369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1460489 + ... + 1460951.

It is an arithmetic number, because the mean of its divisors is an integer number (14283312).

Almost surely, 2676313360 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 676313360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856998720).

676313360 is an abundant number, since it is smaller than the sum of its proper divisors (1037684080).

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

676313360 is a wasteful number, since it uses less digits than its factorization.

676313360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 35.

The square root of 676313360 is about 26006.0254556516. The cubic root of 676313360 is about 877.7738844148.

The spelling of 676313360 in words is "six hundred seventy-six million, three hundred thirteen thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 31 38 40 62 76 80 95 124 152 155 190 248 304 310 380 463 496 589 620 760 926 961 1178 1240 1520 1852 1922 2315 2356 2480 2945 3704 3844 4630 4712 4805 5890 7408 7688 8797 9260 9424 9610 11780 14353 15376 17594 18259 18520 19220 23560 28706 35188 36518 37040 38440 43985 47120 57412 70376 71765 73036 76880 87970 91295 114824 140752 143530 146072 175940 182590 229648 272707 287060 292144 351880 365180 444943 545414 574120 703760 730360 889886 1090828 1148240 1363535 1460720 1779772 2181656 2224715 2727070 3559544 4363312 4449430 5454140 7119088 8453917 8898860 10908280 16907834 17797720 21816560 33815668 35595440 42269585 67631336 84539170 135262672 169078340 338156680 676313360