Base | Representation |
---|---|
bin | 1010000100010000011… |
… | …10111011111000101101 |
3 | 1020001210011212221121000 |
4 | 11002020032323320231 |
5 | 21131332022002430 |
6 | 422521345030513 |
7 | 33663205664610 |
oct | 5021016737055 |
9 | 1201704787530 |
10 | 345883000365 |
11 | 123762a33611 |
12 | 5704b625439 |
13 | 26802963876 |
14 | 12a52b84177 |
15 | 8ee58bbe60 |
hex | 50883bbe2d |
345883000365 has 128 divisors (see below), whose sum is σ = 756698112000. Its totient is φ = 146294166528.
The previous prime is 345883000301. The next prime is 345883000369. The reversal of 345883000365 is 563000388543.
345883000365 is a `hidden beast` number, since 3 + 4 + 588 + 3 + 0 + 0 + 0 + 3 + 65 = 666.
It is not a de Polignac number, because 345883000365 - 26 = 345883000301 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a self number, because there is not a number n which added to its sum of digits gives 345883000365.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (345883000369) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 765376 + ... + 1130294.
It is an arithmetic number, because the mean of its divisors is an integer number (5911704000).
Almost surely, 2345883000365 is an apocalyptic number.
345883000365 is a gapful number since it is divisible by the number (35) formed by its first and last digit.
It is an amenable number.
345883000365 is an abundant number, since it is smaller than the sum of its proper divisors (410815111635).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
345883000365 is a wasteful number, since it uses less digits than its factorization.
345883000365 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 365016 (or 365010 counting only the distinct ones).
The product of its (nonzero) digits is 1036800, while the sum is 45.
The spelling of 345883000365 in words is "three hundred forty-five billion, eight hundred eighty-three million, three hundred sixty-five", and thus it is an aban number.
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