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680340 = 2235172329
BaseRepresentation
bin10100110000110010100
31021120020210
42212012110
5133232330
622325420
75532333
oct2460624
91246223
10680340
11425171
12289870
131aa88b
14139d1a
15d68b0
hexa6194

680340 has 96 divisors (see below), whose sum is σ = 2177280. Its totient is φ = 157696.

The previous prime is 680327. The next prime is 680341. The reversal of 680340 is 43086.

680340 = T24 + T25 + ... + T159.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680341) by changing a digit.

680340 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23446 + ... + 23474.

It is an arithmetic number, because the mean of its divisors is an integer number (22680).

2680340 is an apocalyptic number.

680340 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088640).

680340 is an abundant number, since it is smaller than the sum of its proper divisors (1496940).

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

680340 is a wasteful number, since it uses less digits than its factorization.

680340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 680340 is about 824.8272546418. The cubic root of 680340 is about 87.9512471001.

Adding to 680340 its sum of digits (21), we get a triangular number (680361 = T1166).

The spelling of 680340 in words is "six hundred eighty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 23 29 30 34 46 51 58 60 68 69 85 87 92 102 115 116 138 145 170 174 204 230 255 276 290 340 345 348 391 435 460 493 510 580 667 690 782 870 986 1020 1173 1334 1380 1479 1564 1740 1955 1972 2001 2346 2465 2668 2958 3335 3910 4002 4692 4930 5865 5916 6670 7395 7820 8004 9860 10005 11339 11730 13340 14790 20010 22678 23460 29580 34017 40020 45356 56695 68034 113390 136068 170085 226780 340170 680340