Base | Representation |
---|---|
bin | 10010100111101… |
… | …110000111010000 |
3 | 210202211200111200 |
4 | 102213232013100 |
5 | 1114433334014 |
6 | 50555511200 |
7 | 10512243060 |
oct | 2247560720 |
9 | 722750450 |
10 | 312402384 |
11 | 150385598 |
12 | 88758500 |
13 | 4c950ca8 |
14 | 2d6c13a0 |
15 | 1c65da09 |
hex | 129ee1d0 |
312402384 has 120 divisors (see below), whose sum is σ = 1033743360. Its totient is φ = 86171904.
The previous prime is 312402379. The next prime is 312402437. The reversal of 312402384 is 483204213.
312402384 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
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, 23889 + ... + 34575.
It is an arithmetic number, because the mean of its divisors is an integer number (8614528).
Almost surely, 2312402384 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 312402384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516871680).
312402384 is an abundant number, since it is smaller than the sum of its proper divisors (721340976).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
312402384 is a wasteful number, since it uses less digits than its factorization.
312402384 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 10737 (or 10728 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 27.
The square root of 312402384 is about 17674.9083165939. The cubic root of 312402384 is about 678.5337379662.
Adding to 312402384 its reverse (483204213), we get a palindrome (795606597).
The spelling of 312402384 in words is "three hundred twelve million, four hundred two thousand, three hundred eighty-four".
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