Base | Representation |
---|---|
bin | 1000101111001000… |
… | …0011100111100000 |
3 | 20001102211012221002 |
4 | 2023302003213200 |
5 | 14300324430130 |
6 | 1024412451132 |
7 | 112054326464 |
oct | 21362034740 |
9 | 6042735832 |
10 | 2345155040 |
11 | aa3862768 |
12 | 555479aa8 |
13 | 2b4b25207 |
14 | 1836644a4 |
15 | dad40b45 |
hex | 8bc839e0 |
2345155040 has 96 divisors (see below), whose sum is σ = 5652491040. Its totient is φ = 919281664.
The previous prime is 2345155037. The next prime is 2345155051. The reversal of 2345155040 is 405515432.
It is a junction number, because it is equal to n+sod(n) for n = 2345154994 and 2345155012.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1818716 + ... + 1820004.
It is an arithmetic number, because the mean of its divisors is an integer number (58880115).
Almost surely, 22345155040 is an apocalyptic number.
2345155040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2345155040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2826245520).
2345155040 is an abundant number, since it is smaller than the sum of its proper divisors (3307336000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2345155040 is a wasteful number, since it uses less digits than its factorization.
2345155040 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1524 (or 1516 counting only the distinct ones).
The product of its (nonzero) digits is 12000, while the sum is 29.
The square root of 2345155040 is about 48426.8008441607. The cubic root of 2345155040 is about 1328.5885945070.
The spelling of 2345155040 in words is "two billion, three hundred forty-five million, one hundred fifty-five thousand, forty".
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