Base | Representation |
---|---|
bin | 10100011101011… |
… | …010101110100000 |
3 | 212220220012200000 |
4 | 110131122232200 |
5 | 1200333142333 |
6 | 54021100000 |
7 | 11335425156 |
oct | 2435325640 |
9 | 786805600 |
10 | 343255968 |
11 | 166839320 |
12 | 96b57600 |
13 | 56164653 |
14 | 338333d6 |
15 | 20205713 |
hex | 1475aba0 |
343255968 has 144 divisors (see below), whose sum is σ = 1104588576. Its totient is φ = 103991040.
The previous prime is 343255921. The next prime is 343255973. The reversal of 343255968 is 869552343.
343255968 is a `hidden beast` number, since 3 + 4 + 32 + 559 + 68 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83530 + ... + 87542.
It is an arithmetic number, because the mean of its divisors is an integer number (7670754).
Almost surely, 2343255968 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 343255968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552294288).
343255968 is an abundant number, since it is smaller than the sum of its proper divisors (761332608).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
343255968 is a wasteful number, since it uses less digits than its factorization.
343255968 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4049 (or 4029 counting only the distinct ones).
The product of its digits is 777600, while the sum is 45.
The square root of 343255968 is about 18527.1683751187. The cubic root of 343255968 is about 700.1740845941.
The spelling of 343255968 in words is "three hundred forty-three million, two hundred fifty-five thousand, nine hundred sixty-eight".
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