Base | Representation |
---|---|
bin | 10100011101100… |
… | …100011011000000 |
3 | 212220222020010211 |
4 | 110131210123000 |
5 | 1200340430210 |
6 | 54022003504 |
7 | 11335652020 |
oct | 2435443300 |
9 | 786866124 |
10 | 343295680 |
11 | 166866142 |
12 | 96b76594 |
13 | 56179750 |
14 | 33843a80 |
15 | 2021238a |
hex | 147646c0 |
343295680 has 112 divisors (see below), whose sum is σ = 1006205760. Its totient is φ = 108638208.
The previous prime is 343295669. The next prime is 343295737. The reversal of 343295680 is 86592343.
It is a tau number, because it is divible by the number of its divisors (112).
It is a Harshad number since it is a multiple of its sum of digits (40).
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23226 + ... + 35014.
It is an arithmetic number, because the mean of its divisors is an integer number (8983980).
Almost surely, 2343295680 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 343295680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503102880).
343295680 is an abundant number, since it is smaller than the sum of its proper divisors (662910080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
343295680 is a wasteful number, since it uses less digits than its factorization.
343295680 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 11826 (or 11816 counting only the distinct ones).
The product of its (nonzero) digits is 155520, while the sum is 40.
The square root of 343295680 is about 18528.2400675293. The cubic root of 343295680 is about 700.2010850870.
The spelling of 343295680 in words is "three hundred forty-three million, two hundred ninety-five thousand, six hundred eighty".
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