Base | Representation |
---|---|
bin | 10011101010111… |
… | …000110110010000 |
3 | 211222222020121121 |
4 | 103222320312100 |
5 | 1133440310000 |
6 | 52425132024 |
7 | 11115016165 |
oct | 2352706620 |
9 | 758866547 |
10 | 330010000 |
11 | 15a311441 |
12 | 9262a014 |
13 | 534a74b8 |
14 | 31b8606c |
15 | 1de8ab1a |
hex | 13ab8d90 |
330010000 has 100 divisors (see below), whose sum is σ = 813586444. Its totient is φ = 129600000.
The previous prime is 330009989. The next prime is 330010019. The reversal of 330010000 is 10033.
It is a happy number.
It can be written as a sum of positive squares in 10 ways, for example, as 322849024 + 7160976 = 17968^2 + 2676^2 .
It is a tau number, because it is divible by the number of its divisors (100).
It is an unprimeable number.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 609730 + ... + 610270.
Almost surely, 2330010000 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 330010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406793222).
330010000 is an abundant number, since it is smaller than the sum of its proper divisors (483576444).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
330010000 is an equidigital number, since it uses as much as digits as its factorization.
330010000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 630 (or 609 counting only the distinct ones).
The product of its (nonzero) digits is 9, while the sum is 7.
The square root of 330010000 is about 18166.1773634411. The cubic root of 330010000 is about 691.0493031561.
Adding to 330010000 its reverse (10033), we get a palindrome (330020033).
The spelling of 330010000 in words is "three hundred thirty million, ten thousand".
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