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680397340 = 225724191657
BaseRepresentation
bin101000100011100…
…000101000011100
31202102021202200111
4220203200220130
52343140203330
6151303135404
722601165500
oct5043405034
91672252614
10680397340
1131a080657
1216ba44564
13aac67a9c
1466514300
153eaee32a
hex288e0a1c

680397340 has 72 divisors (see below), whose sum is σ = 1667085840. Its totient is φ = 232581888.

The previous prime is 680397317. The next prime is 680397343. The reversal of 680397340 is 43793086.

It is a junction number, because it is equal to n+sod(n) for n = 680397293 and 680397302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680397343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 409792 + ... + 411448.

It is an arithmetic number, because the mean of its divisors is an integer number (23153970).

Almost surely, 2680397340 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 680397340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833542920).

680397340 is an abundant number, since it is smaller than the sum of its proper divisors (986688500).

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

680397340 is a wasteful number, since it uses less digits than its factorization.

680397340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2099 (or 2090 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 680397340 is about 26084.4271549137. The cubic root of 680397340 is about 879.5371791507.

The spelling of 680397340 in words is "six hundred eighty million, three hundred ninety-seven thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 419 490 838 980 1657 1676 2095 2933 3314 4190 5866 6628 8285 8380 11599 11732 14665 16570 20531 23198 29330 33140 41062 46396 57995 58660 81193 82124 102655 115990 162386 205310 231980 324772 405965 410620 694283 811930 1388566 1623860 2777132 3471415 4859981 6942830 9719962 13885660 19439924 24299905 34019867 48599810 68039734 97199620 136079468 170099335 340198670 680397340