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680580348 = 223710775721
BaseRepresentation
bin101000100100001…
…101010011111100
31202102122001201120
4220210031103330
52343212032343
6151311110540
722602560160
oct5044152374
91672561646
10680580348
1131a1960a8
1216bb12450
13ab000186
1466560ca0
153eb38683
hex2890d4fc

680580348 has 48 divisors (see below), whose sum is σ = 1831866624. Its totient is φ = 192631680.

The previous prime is 680580347. The next prime is 680580349. The reversal of 680580348 is 843085086.

It is an interprime number because it is at equal distance from previous prime (680580347) and next prime (680580349).

It is a super-2 number, since 2×6805803482 = 926379220167602208, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680580347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28873 + ... + 46848.

It is an arithmetic number, because the mean of its divisors is an integer number (38163888).

Almost surely, 2680580348 is an apocalyptic number.

It is an amenable number.

680580348 is an abundant number, since it is smaller than the sum of its proper divisors (1151286276).

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

680580348 is a wasteful number, since it uses less digits than its factorization.

680580348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75842 (or 75840 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 680580348 is about 26087.9349125223. The cubic root of 680580348 is about 879.6160291115.

It can be divided in two parts, 6805 and 80348, that added together give a triangular number (87153 = T417).

The spelling of 680580348 in words is "six hundred eighty million, five hundred eighty thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 107 214 321 428 642 749 1284 1498 2247 2996 4494 8988 75721 151442 227163 302884 454326 530047 908652 1060094 1590141 2120188 3180282 6360564 8102147 16204294 24306441 32408588 48612882 56715029 97225764 113430058 170145087 226860116 340290174 680580348