Base | Representation |
---|---|
bin | 10011101100000… |
… | …000111100110000 |
3 | 212000112020201200 |
4 | 103230000330300 |
5 | 1134024232303 |
6 | 52435331200 |
7 | 11120356203 |
oct | 2354007460 |
9 | 760466650 |
10 | 330305328 |
11 | 15a4a3311 |
12 | 92750b00 |
13 | 5357ba52 |
14 | 31c2193a |
15 | 1dee83a3 |
hex | 13b00f30 |
330305328 has 120 divisors (see below), whose sum is σ = 952653312. Its totient is φ = 106788864.
The previous prime is 330305321. The next prime is 330305333. The reversal of 330305328 is 823503033.
It is a happy number.
330305328 is a `hidden beast` number, since 3 + 30 + 305 + 328 = 666.
It is not an unprimeable number, because it can be changed into a prime (330305321) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 862225 + ... + 862607.
Almost surely, 2330305328 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 330305328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476326656).
330305328 is an abundant number, since it is smaller than the sum of its proper divisors (622347984).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
330305328 is a wasteful number, since it uses less digits than its factorization.
330305328 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 563 (or 554 counting only the distinct ones).
The product of its (nonzero) digits is 6480, while the sum is 27.
The square root of 330305328 is about 18174.3040582026. The cubic root of 330305328 is about 691.2553831330.
The spelling of 330305328 in words is "three hundred thirty million, three hundred five thousand, three hundred twenty-eight".
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