Base | Representation |
---|---|
bin | 10010101111011… |
… | …101101100101100 |
3 | 210220122211000202 |
4 | 102233131230230 |
5 | 1120443313200 |
6 | 51111213032 |
7 | 10535426150 |
oct | 2257355454 |
9 | 726584022 |
10 | 314432300 |
11 | 151541706 |
12 | 89377178 |
13 | 501b1c20 |
14 | 2da8d060 |
15 | 1c9101d5 |
hex | 12bddb2c |
314432300 has 144 divisors (see below), whose sum is σ = 850153920. Its totient is φ = 98288640.
The previous prime is 314432281. The next prime is 314432309. The reversal of 314432300 is 3234413.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is not an unprimeable number, because it can be changed into a prime (314432309) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 991742 + ... + 992058.
Almost surely, 2314432300 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 314432300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425076960).
314432300 is an abundant number, since it is smaller than the sum of its proper divisors (535721620).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
314432300 is a wasteful number, since it uses less digits than its factorization.
314432300 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 460 (or 453 counting only the distinct ones).
The product of its (nonzero) digits is 864, while the sum is 20.
The square root of 314432300 is about 17732.2390013219. The cubic root of 314432300 is about 680.0002162629. Note that the first 3 decimals are identical.
Adding to 314432300 its reverse (3234413), we get a palindrome (317666713).
The spelling of 314432300 in words is "three hundred fourteen million, four hundred thirty-two thousand, three hundred".
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