Base | Representation |
---|---|
bin | 10100011110011… |
… | …011001101000000 |
3 | 212221101121221100 |
4 | 110132123031000 |
5 | 1200420120224 |
6 | 54030454400 |
7 | 11340605136 |
oct | 2436331500 |
9 | 787347840 |
10 | 343520064 |
11 | 1669a9788 |
12 | 97064400 |
13 | 56227914 |
14 | 338a1756 |
15 | 20258ac9 |
hex | 1479b340 |
343520064 has 84 divisors (see below), whose sum is σ = 995850180. Its totient is φ = 113203200.
The previous prime is 343520059. The next prime is 343520069. The reversal of 343520064 is 460025343.
It is an interprime number because it is at equal distance from previous prime (343520059) and next prime (343520069).
It can be written as a sum of positive squares in 2 ways, for example, as 100160064 + 243360000 = 10008^2 + 15600^2 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (343520069) 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 11 ways as a sum of consecutive naturals, for example, 47914 + ... + 54614.
Almost surely, 2343520064 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 343520064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497925090).
343520064 is an abundant number, since it is smaller than the sum of its proper divisors (652330116).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
343520064 is a wasteful number, since it uses less digits than its factorization.
343520064 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6808 (or 6795 counting only the distinct ones).
The product of its (nonzero) digits is 8640, while the sum is 27.
The square root of 343520064 is about 18534.2942676542. The cubic root of 343520064 is about 700.3536063790.
The spelling of 343520064 in words is "three hundred forty-three million, five hundred twenty thousand, sixty-four".
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