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680344350 = 235272922343
BaseRepresentation
bin101000100011010…
…011101100011110
31202102012001222220
4220203103230132
52343132004400
6151302050210
722600555140
oct5043235436
91672161886
10680344350
1131a044864
1216ba19966
13aac4992a
14664dcc90
153eadd7a0
hex288d3b1e

680344350 has 96 divisors (see below), whose sum is σ = 1994872320. Its totient is φ = 150138240.

The previous prime is 680344339. The next prime is 680344361. The reversal of 680344350 is 53443086.

680344350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (680344339) and next prime (680344361).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19279 + ... + 41621.

It is an arithmetic number, because the mean of its divisors is an integer number (20779920).

Almost surely, 2680344350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680344350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997436160).

680344350 is an abundant number, since it is smaller than the sum of its proper divisors (1314527970).

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

680344350 is a wasteful number, since it uses less digits than its factorization.

680344350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22394 (or 22389 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 680344350 is about 26083.4113949844. The cubic root of 680344350 is about 879.5143454904.

The spelling of 680344350 in words is "six hundred eighty million, three hundred forty-four thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 29 30 35 42 50 58 70 75 87 105 145 150 174 175 203 210 290 350 406 435 525 609 725 870 1015 1050 1218 1450 2030 2175 3045 4350 5075 6090 10150 15225 22343 30450 44686 67029 111715 134058 156401 223430 312802 335145 469203 558575 647947 670290 782005 938406 1117150 1295894 1564010 1675725 1943841 2346015 3239735 3351450 3887682 3910025 4535629 4692030 6479470 7820050 9071258 9719205 11730075 13606887 16198675 19438410 22678145 23460150 27213774 32397350 45356290 48596025 68034435 97192050 113390725 136068870 226781450 340172175 680344350