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3679856244 = 223417668093
BaseRepresentation
bin1101101101010110…
…0010011001110100
3100111110022001210000
43123111202121310
530014020344434
61405052031300
7160122155601
oct33325423164
910443261700
103679856244
111619201509
12868462530
134684bcc3c
1426ca196a8
151680d7b99
hexdb562674

3679856244 has 60 divisors (see below), whose sum is σ = 10185761124. Its totient is φ = 1154462976.

The previous prime is 3679856183. The next prime is 3679856249. The reversal of 3679856244 is 4426589763.

3679856244 is a `hidden beast` number, since 3 + 6 + 7 + 9 + 8 + 5 + 624 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1640250000 + 2039606244 = 40500^2 + 45162^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3679856249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 328539 + ... + 339554.

Almost surely, 23679856244 is an apocalyptic number.

3679856244 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3679856244 is an abundant number, since it is smaller than the sum of its proper divisors (6505904880).

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

3679856244 is a wasteful number, since it uses less digits than its factorization.

3679856244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668126 (or 668115 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The square root of 3679856244 is about 60661.8186670990. The cubic root of 3679856244 is about 1543.8684220563.

The spelling of 3679856244 in words is "three billion, six hundred seventy-nine million, eight hundred fifty-six thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 306 324 459 612 918 1377 1836 2754 5508 668093 1336186 2004279 2672372 4008558 6012837 8017116 11357581 12025674 18038511 22715162 24051348 34072743 36077022 45430324 54115533 68145486 72154044 102218229 108231066 136290972 204436458 216462132 306654687 408872916 613309374 919964061 1226618748 1839928122 3679856244