Base | Representation |
---|---|
bin | 10011101111110… |
… | …011110011000000 |
3 | 212002101210012120 |
4 | 103233303303000 |
5 | 1134303100112 |
6 | 52512524240 |
7 | 11132001210 |
oct | 2357636300 |
9 | 762353176 |
10 | 331300032 |
11 | 160012688 |
12 | 92b50680 |
13 | 5383972b |
14 | 32000240 |
15 | 1e142e8c |
hex | 13bf3cc0 |
331300032 has 112 divisors (see below), whose sum is σ = 1020909312. Its totient is φ = 92851200.
The previous prime is 331300003. The next prime is 331300037. The reversal of 331300032 is 230003133.
331300032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (112).
It is a super-2 number, since 2×3313000322 = 219519422406402048, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 331299984 and 331300020.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (331300037) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68907 + ... + 73557.
Almost surely, 2331300032 is an apocalyptic number.
331300032 is a gapful number since it is divisible by the number (32) 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 331300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510454656).
331300032 is an abundant number, since it is smaller than the sum of its proper divisors (689609280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
331300032 is a wasteful number, since it uses less digits than its factorization.
331300032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4726 (or 4716 counting only the distinct ones).
The product of its (nonzero) digits is 162, while the sum is 15.
The square root of 331300032 is about 18201.6491560518. The cubic root of 331300032 is about 691.9485856195.
Adding to 331300032 its reverse (230003133), we get a palindrome (561303165).
The spelling of 331300032 in words is "three hundred thirty-one million, three hundred thousand, thirty-two".
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