Base | Representation |
---|---|
bin | 1000101000000000… |
… | …1100010100000000 |
3 | 12222100122202001222 |
4 | 2022000030110000 |
5 | 14220204244430 |
6 | 1021425014212 |
7 | 111242530652 |
oct | 21200142400 |
9 | 5870582058 |
10 | 2315306240 |
11 | a88a25935 |
12 | 547484368 |
13 | 2ab8a3cc0 |
14 | 17d6d46d2 |
15 | d83e69e5 |
hex | 8a00c500 |
2315306240 has 144 divisors (see below), whose sum is σ = 6073059216. Its totient is φ = 840499200.
The previous prime is 2315306209. The next prime is 2315306251. The reversal of 2315306240 is 426035132.
It can be written as a sum of positive squares in 8 ways, for example, as 566059264 + 1749246976 = 23792^2 + 41824^2 .
It is a Harshad number since it is a multiple of its sum of digits (26).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1013900 + ... + 1016180.
Almost surely, 22315306240 is an apocalyptic number.
2315306240 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 2315306240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3036529608).
2315306240 is an abundant number, since it is smaller than the sum of its proper divisors (3757752976).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2315306240 is a wasteful number, since it uses less digits than its factorization.
2315306240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2376 (or 2362 counting only the distinct ones).
The product of its (nonzero) digits is 4320, while the sum is 26.
The square root of 2315306240 is about 48117.6292017801. The cubic root of 2315306240 is about 1322.9278140126.
The spelling of 2315306240 in words is "two billion, three hundred fifteen million, three hundred six thousand, two hundred forty".
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