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680313330 = 2345899437
BaseRepresentation
bin101000100011001…
…100000111110010
31202102010111110000
4220203030013302
52343130011310
6151301250430
722600365534
oct5043140762
91672114400
10680313330
1131a023524
1216ba03a16
13aac38788
14664d1854
153ead44c0
hex288cc1f2

680313330 has 80 divisors (see below), whose sum is σ = 1850036760. Its totient is φ = 179359488.

The previous prime is 680313313. The next prime is 680313421. The reversal of 680313330 is 33313086.

It can be written as a sum of positive squares in 4 ways, for example, as 466948881 + 213364449 = 21609^2 + 14607^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 680313294 and 680313303.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 67372 + ... + 76808.

Almost surely, 2680313330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680313330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925018380).

680313330 is an abundant number, since it is smaller than the sum of its proper divisors (1169723430).

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

680313330 is a wasteful number, since it uses less digits than its factorization.

680313330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9545 (or 9536 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 680313330 is about 26082.8167573980. The cubic root of 680313330 is about 879.5009782646.

The spelling of 680313330 in words is "six hundred eighty million, three hundred thirteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 89 90 135 162 178 267 270 405 445 534 801 810 890 1335 1602 2403 2670 4005 4806 7209 8010 9437 12015 14418 18874 24030 28311 36045 47185 56622 72090 84933 94370 141555 169866 254799 283110 424665 509598 764397 839893 849330 1273995 1528794 1679786 2519679 2547990 3821985 4199465 5039358 7559037 7643970 8398930 12598395 15118074 22677111 25196790 37795185 45354222 68031333 75590370 113385555 136062666 226771110 340156665 680313330