| Base | Representation |
|---|---|
| bin | 10011111011010… |
| … | …000010010000000 |
| 3 | 212022001012210011 |
| 4 | 103323100102000 |
| 5 | 1141040102123 |
| 6 | 53101114304 |
| 7 | 11166335260 |
| oct | 2373202200 |
| 9 | 768035704 |
| 10 | 334300288 |
| 11 | 161781833 |
| 12 | 93b58994 |
| 13 | 5434a22a |
| 14 | 325817a0 |
| 15 | 1e536e0d |
| hex | 13ed0480 |
334300288 has 128 divisors (see below), whose sum is σ = 815184000. Its totient is φ = 133373952.
The previous prime is 334300279. The next prime is 334300289. The reversal of 334300288 is 882003433.
334300288 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 (128).
It is a super-2 number, since 2×3343002882 = 223513365113765888, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (334300289) 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 15 ways as a sum of consecutive naturals, for example, 1242618 + ... + 1242886.
It is an arithmetic number, because the mean of its divisors is an integer number (6368625).
Almost surely, 2334300288 is an apocalyptic number.
334300288 is a gapful number since it is divisible by the number (38) 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 334300288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407592000).
334300288 is an abundant number, since it is smaller than the sum of its proper divisors (480883712).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
334300288 is a wasteful number, since it uses less digits than its factorization.
334300288 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 382 (or 370 counting only the distinct ones).
The product of its (nonzero) digits is 13824, while the sum is 31.
The square root of 334300288 is about 18283.8805509115. The cubic root of 334300288 is about 694.0310760196.
The spelling of 334300288 in words is "three hundred thirty-four million, three hundred thousand, two hundred eighty-eight".
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