Base | Representation |
---|---|
bin | 10010110001001… |
… | …100011111010000 |
3 | 210221111212112000 |
4 | 102301030133100 |
5 | 1121102323341 |
6 | 51125034000 |
7 | 10542326160 |
oct | 2261143720 |
9 | 727455460 |
10 | 314886096 |
11 | 151821648 |
12 | 89555900 |
13 | 50310645 |
14 | 2db6a5a0 |
15 | 1c99e8b6 |
hex | 12c4c7d0 |
314886096 has 160 divisors (see below), whose sum is σ = 1066598400. Its totient is φ = 87039360.
The previous prime is 314886079. The next prime is 314886097. The reversal of 314886096 is 690688413.
314886096 is a `hidden beast` number, since 31 + 4 + 8 + 8 + 609 + 6 = 666.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (314886097) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92065 + ... + 95423.
It is an arithmetic number, because the mean of its divisors is an integer number (6666240).
Almost surely, 2314886096 is an apocalyptic number.
314886096 is a gapful number since it is divisible by the number (36) 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 314886096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533299200).
314886096 is an abundant number, since it is smaller than the sum of its proper divisors (751712304).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
314886096 is a wasteful number, since it uses less digits than its factorization.
314886096 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3414 (or 3402 counting only the distinct ones).
The product of its (nonzero) digits is 248832, while the sum is 45.
The square root of 314886096 is about 17745.0301774891. The cubic root of 314886096 is about 680.3271897179.
The spelling of 314886096 in words is "three hundred fourteen million, eight hundred eighty-six thousand, ninety-six".
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