Base | Representation |
---|---|
bin | 1000101111000111… |
… | …0000010000000000 |
3 | 20001102200012010000 |
4 | 2023301300100000 |
5 | 14300314410322 |
6 | 1024411040000 |
7 | 112053546300 |
oct | 21361602000 |
9 | 6042605100 |
10 | 2345075712 |
11 | aa3809101 |
12 | 555440000 |
13 | 2b4ac8085 |
14 | 183643600 |
15 | dad273ac |
hex | 8bc70400 |
2345075712 has 330 divisors, whose sum is σ = 8160295902. Its totient is φ = 668860416.
The previous prime is 2345075657. The next prime is 2345075743. The reversal of 2345075712 is 2175705432.
2345075712 is a `hidden beast` number, since 2 + 34 + 50 + 7 + 571 + 2 = 666.
It can be written as a sum of positive squares in only one way, i.e., 2341011456 + 4064256 = 48384^2 + 2016^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nialpdrome in base 12.
It is a zygodrome in base 12.
It is an unprimeable number.
It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4063968 + ... + 4064544.
Almost surely, 22345075712 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 2345075712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4080147951).
2345075712 is an abundant number, since it is smaller than the sum of its proper divisors (5815220190).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2345075712 is an equidigital number, since it uses as much as digits as its factorization.
2345075712 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 623 (or 589 counting only the distinct ones).
The product of its (nonzero) digits is 58800, while the sum is 36.
The square root of 2345075712 is about 48425.9817866401. The cubic root of 2345075712 is about 1328.5736139105.
The spelling of 2345075712 in words is "two billion, three hundred forty-five million, seventy-five thousand, seven hundred twelve".
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