Base | Representation |
---|---|
bin | 10010110011000… |
… | …110000011110000 |
3 | 210222110011120200 |
4 | 102303012003300 |
5 | 1121214242143 |
6 | 51143435200 |
7 | 10546502010 |
oct | 2263060360 |
9 | 728404520 |
10 | 315384048 |
11 | 152031781 |
12 | 89755b00 |
13 | 504561a5 |
14 | 2dc59c40 |
15 | 1ca4c1d3 |
hex | 12cc60f0 |
315384048 has 120 divisors (see below), whose sum is σ = 1043608800. Its totient is φ = 86994432.
The previous prime is 315384029. The next prime is 315384061. The reversal of 315384048 is 840483513.
315384048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23838 + ... + 34626.
It is an arithmetic number, because the mean of its divisors is an integer number (8696740).
Almost surely, 2315384048 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 315384048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521804400).
315384048 is an abundant number, since it is smaller than the sum of its proper divisors (728224752).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
315384048 is a wasteful number, since it uses less digits than its factorization.
315384048 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 10839 (or 10830 counting only the distinct ones).
The product of its (nonzero) digits is 46080, while the sum is 36.
The square root of 315384048 is about 17759.0553802842. The cubic root of 315384048 is about 680.6856175979.
The spelling of 315384048 in words is "three hundred fifteen million, three hundred eighty-four thousand, forty-eight".
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