Base | Representation |
---|---|
bin | 10010101101110… |
… | …100001010000000 |
3 | 210212211212000122 |
4 | 102231310022000 |
5 | 1120341000000 |
6 | 51054035412 |
7 | 10531645616 |
oct | 2255641200 |
9 | 725755018 |
10 | 314000000 |
11 | 151276936 |
12 | 891a8b68 |
13 | 50090222 |
14 | 2d9b96b6 |
15 | 1c877085 |
hex | 12b74280 |
314000000 has 112 divisors (see below), whose sum is σ = 786903990. Its totient is φ = 124800000.
The previous prime is 313999981. The next prime is 314000003. The reversal of 314000000 is 413.
It can be written as a sum of positive squares in 7 ways, for example, as 200279104 + 113720896 = 14152^2 + 10664^2 .
It is a Harshad number since it is a multiple of its sum of digits (8).
It is not an unprimeable number, because it can be changed into a prime (314000003) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1999922 + ... + 2000078.
Almost surely, 2314000000 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 314000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393451995).
314000000 is an abundant number, since it is smaller than the sum of its proper divisors (472903990).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
314000000 is an frugal number, since it uses more digits than its factorization.
314000000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 201 (or 164 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 8.
The square root of 314000000 is about 17720.0451466694. The cubic root of 314000000 is about 679.6884385859.
Adding to 314000000 its reverse (413), we get a palindrome (314000413).
The spelling of 314000000 in words is "three hundred fourteen million", and thus it is an aban number.
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