Base | Representation |
---|---|
bin | 10010100111011… |
… | …100111011110100 |
3 | 210202201002222121 |
4 | 102213130323310 |
5 | 1114424111040 |
6 | 50554205324 |
7 | 10511530660 |
oct | 2247347364 |
9 | 722632877 |
10 | 312332020 |
11 | 150337740 |
12 | 88723844 |
13 | 4c927c60 |
14 | 2d6a38a0 |
15 | 1c647c4a |
hex | 129dcef4 |
312332020 has 96 divisors (see below), whose sum is σ = 880701696. Its totient is φ = 89856000.
The previous prime is 312332003. The next prime is 312332023. The reversal of 312332020 is 20233213.
It is a junction number, because it is equal to n+sod(n) for n = 312331985 and 312332003.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (312332023) 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 31 ways as a sum of consecutive naturals, for example, 12220 + ... + 27820.
It is an arithmetic number, because the mean of its divisors is an integer number (9173976).
Almost surely, 2312332020 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 312332020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440350848).
312332020 is an abundant number, since it is smaller than the sum of its proper divisors (568369676).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
312332020 is a wasteful number, since it uses less digits than its factorization.
312332020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15641 (or 15639 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 16.
The square root of 312332020 is about 17672.9176991237. The cubic root of 312332020 is about 678.4827909233.
Adding to 312332020 its reverse (20233213), we get a palindrome (332565233).
The spelling of 312332020 in words is "three hundred twelve million, three hundred thirty-two thousand, twenty".
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