Base | Representation |
---|---|
bin | 10011101100000… |
… | …011011100000000 |
3 | 212000112202201011 |
4 | 103230003130000 |
5 | 1134030044040 |
6 | 52435450304 |
7 | 11120431003 |
oct | 2354033400 |
9 | 760482634 |
10 | 330315520 |
11 | 15a4aaa37 |
12 | 92756994 |
13 | 53583592 |
14 | 31c2553a |
15 | 1deeb3ea |
hex | 13b03700 |
330315520 has 72 divisors (see below), whose sum is σ = 796914720. Its totient is φ = 131174400.
The previous prime is 330315499. The next prime is 330315521. The reversal of 330315520 is 25513033.
It is a happy number.
330315520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a junction number, because it is equal to n+sod(n) for n = 330315491 and 330315500.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (330315521) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 192426 + ... + 194134.
It is an arithmetic number, because the mean of its divisors is an integer number (11068260).
Almost surely, 2330315520 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 330315520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398457360).
330315520 is an abundant number, since it is smaller than the sum of its proper divisors (466599200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
330315520 is a wasteful number, since it uses less digits than its factorization.
330315520 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1881 (or 1867 counting only the distinct ones).
The product of its (nonzero) digits is 1350, while the sum is 22.
The square root of 330315520 is about 18174.5844519208. The cubic root of 330315520 is about 691.2624929208.
Adding to 330315520 its reverse (25513033), we get a palindrome (355828553).
The spelling of 330315520 in words is "three hundred thirty million, three hundred fifteen thousand, five hundred twenty".
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