Base | Representation |
---|---|
bin | 10010101110001… |
… | …100101001001100 |
3 | 210220000221121110 |
4 | 102232030221030 |
5 | 1120402202200 |
6 | 51100132020 |
7 | 10532544213 |
oct | 2256145114 |
9 | 726027543 |
10 | 314100300 |
11 | 151335228 |
12 | 89237010 |
13 | 500c6a87 |
14 | 2da0407a |
15 | 1c896b50 |
hex | 12b8ca4c |
314100300 has 72 divisors (see below), whose sum is σ = 910622272. Its totient is φ = 83592000.
The previous prime is 314100263. The next prime is 314100307. The reversal of 314100300 is 3001413.
314100300 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 (12).
It is not an unprimeable number, because it can be changed into a prime (314100307) 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 23 ways as a sum of consecutive naturals, for example, 242655 + ... + 243945.
Almost surely, 2314100300 is an apocalyptic number.
314100300 is a gapful number since it is divisible by the number (30) 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 314100300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455311136).
314100300 is an abundant number, since it is smaller than the sum of its proper divisors (596521972).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
314100300 is a wasteful number, since it uses less digits than its factorization.
314100300 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2119 (or 2112 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 12.
The square root of 314100300 is about 17722.8750489304. The cubic root of 314100300 is about 679.7608011050.
Adding to 314100300 its reverse (3001413), we get a palindrome (317101713).
The spelling of 314100300 in words is "three hundred fourteen million, one hundred thousand, three hundred".
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