Base | Representation |
---|---|
bin | 10100011101110… |
… | …010011110000000 |
3 | 212221002011001210 |
4 | 110131302132000 |
5 | 1200344300331 |
6 | 54023130120 |
7 | 11336311533 |
oct | 2435623600 |
9 | 787064053 |
10 | 343353216 |
11 | 1668a5398 |
12 | 96ba3940 |
13 | 561999ab |
14 | 3385aa1a |
15 | 20224446 |
hex | 14772780 |
343353216 has 128 divisors (see below), whose sum is σ = 974916000. Its totient is φ = 106692608.
The previous prime is 343353203. The next prime is 343353217. The reversal of 343353216 is 612353343.
343353216 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 congruent number.
It is not an unprimeable number, because it can be changed into a prime (343353217) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 972496 + ... + 972848.
Almost surely, 2343353216 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 343353216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487458000).
343353216 is an abundant number, since it is smaller than the sum of its proper divisors (631562784).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
343353216 is a wasteful number, since it uses less digits than its factorization.
343353216 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 536 (or 524 counting only the distinct ones).
The product of its digits is 19440, while the sum is 30.
The square root of 343353216 is about 18529.7926593904. The cubic root of 343353216 is about 700.2402005605.
The spelling of 343353216 in words is "three hundred forty-three million, three hundred fifty-three thousand, two hundred sixteen".
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