Base | Representation |
---|---|
bin | 10100011101001… |
… | …101001001000000 |
3 | 212220210101022222 |
4 | 110131031021000 |
5 | 1200324402240 |
6 | 54015550212 |
7 | 11335104011 |
oct | 2435151100 |
9 | 786711288 |
10 | 343200320 |
11 | 166800531 |
12 | 96b2b368 |
13 | 56145218 |
14 | 3381b008 |
15 | 201e3eb5 |
hex | 1474d240 |
343200320 has 56 divisors (see below), whose sum is σ = 821628024. Its totient is φ = 136544256.
The previous prime is 343200283. The next prime is 343200359. The reversal of 343200320 is 23002343.
It can be written as a sum of positive squares in 4 ways, for example, as 67108864 + 276091456 = 8192^2 + 16616^2 .
It is an unprimeable number.
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 7 ways as a sum of consecutive naturals, for example, 58982 + ... + 64538.
It is an arithmetic number, because the mean of its divisors is an integer number (14671929).
Almost surely, 2343200320 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 343200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410814012).
343200320 is an abundant number, since it is smaller than the sum of its proper divisors (478427704).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
343200320 is a wasteful number, since it uses less digits than its factorization.
343200320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5767 (or 5757 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 17.
The square root of 343200320 is about 18525.6665197234. Note that the first 3 decimals coincide. The cubic root of 343200320 is about 700.1362455888.
Adding to 343200320 its reverse (23002343), we get a palindrome (366202663).
The spelling of 343200320 in words is "three hundred forty-three million, two hundred thousand, three hundred twenty".
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