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856082340 = 223254756013
BaseRepresentation
bin110011000001101…
…100011110100100
32012122212111012100
4303001230132210
53223124113330
6220540452100
730133402611
oct6301543644
92178774170
10856082340
113aa266373
121ba84a030
1310848a8c9
14819a7508
1550254060
hex3306c7a4

856082340 has 36 divisors (see below), whose sum is σ = 2596783644. Its totient is φ = 228288576.

The previous prime is 856082323. The next prime is 856082351. The reversal of 856082340 is 43280658.

856082340 is a `hidden beast` number, since 8 + 5 + 608 + 2 + 3 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 273439296 + 582643044 = 16536^2 + 24138^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 856082295 and 856082304.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2377827 + ... + 2378186.

It is an arithmetic number, because the mean of its divisors is an integer number (72132879).

Almost surely, 2856082340 is an apocalyptic number.

It is an amenable number.

856082340 is an abundant number, since it is smaller than the sum of its proper divisors (1740701304).

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

856082340 is a wasteful number, since it uses less digits than its factorization.

856082340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4756028 (or 4756023 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 856082340 is about 29258.8848044487. The cubic root of 856082340 is about 949.5223231061.

The spelling of 856082340 in words is "eight hundred fifty-six million, eighty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 4756013 9512026 14268039 19024052 23780065 28536078 42804117 47560130 57072156 71340195 85608234 95120260 142680390 171216468 214020585 285360780 428041170 856082340