Base | Representation |
---|---|
bin | 10011101101111… |
… | …000011110010100 |
3 | 212001110010021222 |
4 | 103231320132110 |
5 | 1134140414100 |
6 | 52454025512 |
7 | 11124465422 |
oct | 2355703624 |
9 | 761403258 |
10 | 330794900 |
11 | 15a7a8117 |
12 | 92948298 |
13 | 536c0837 |
14 | 31d0c112 |
15 | 1e093485 |
hex | 13b78794 |
330794900 has 36 divisors (see below), whose sum is σ = 722675100. Its totient is φ = 131429920.
The previous prime is 330794869. The next prime is 330794917. The reversal of 330794900 is 9497033.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
330794900 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 6 ways, for example, as 284799376 + 45995524 = 16876^2 + 6782^2 .
330794900 is strictly pandigital in base 9.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2220026 + ... + 2220174.
Almost surely, 2330794900 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 330794900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361337550).
330794900 is an abundant number, since it is smaller than the sum of its proper divisors (391880200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
330794900 is an frugal number, since it uses more digits than its factorization.
330794900 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 461 (or 156 counting only the distinct ones).
The product of its (nonzero) digits is 20412, while the sum is 35.
The square root of 330794900 is about 18187.7678674432. The cubic root of 330794900 is about 691.5967362083.
The spelling of 330794900 in words is "three hundred thirty million, seven hundred ninety-four thousand, nine hundred".
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