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1680934356 = 22345188069
BaseRepresentation
bin110010000110001…
…0000010111010100
311100010222022110000
41210030100113110
511420304344411
6434444131300
756440464153
oct14414202724
94303868400
101680934356
11792930952
123aab36b30
1320a33251a
1411d36159a
159c889956
hex643105d4

1680934356 has 30 divisors (see below), whose sum is σ = 4394295290. Its totient is φ = 560311344.

The previous prime is 1680934349. The next prime is 1680934363. The reversal of 1680934356 is 6534390861.

It is an interprime number because it is at equal distance from previous prime (1680934349) and next prime (1680934363).

It can be written as a sum of positive squares in only one way, i.e., 1315512900 + 365421456 = 36270^2 + 19116^2 .

It is a super-3 number, since 3×16809343563 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2593711 + ... + 2594358.

Almost surely, 21680934356 is an apocalyptic number.

It is an amenable number.

1680934356 is an abundant number, since it is smaller than the sum of its proper divisors (2713360934).

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

1680934356 is a wasteful number, since it uses less digits than its factorization.

1680934356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5188085 (or 5188074 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 1680934356 is about 40999.1994555991. The cubic root of 1680934356 is about 1189.0047361820.

The spelling of 1680934356 in words is "one billion, six hundred eighty million, nine hundred thirty-four thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 5188069 10376138 15564207 20752276 31128414 46692621 62256828 93385242 140077863 186770484 280155726 420233589 560311452 840467178 1680934356