Base | Representation |
---|---|
bin | 1001111111011111010… |
… | …10100101011011000100 |
3 | 1012211011210102102220122 |
4 | 10333233222211123010 |
5 | 21111111233144330 |
6 | 421415350321112 |
7 | 33542605122500 |
oct | 4775752453304 |
9 | 1184153372818 |
10 | 343323334340 |
11 | 12266a087648 |
12 | 56656359198 |
13 | 264b557349c |
14 | 1288cc41300 |
15 | 8de5d075e5 |
hex | 4fefaa56c4 |
343323334340 has 144 divisors (see below), whose sum is σ = 846207965232. Its totient is φ = 116660404224.
The previous prime is 343323334313. The next prime is 343323334379. The reversal of 343323334340 is 43433323343.
It can be written as a sum of positive squares in 8 ways, for example, as 69576723076 + 273746611264 = 263774^2 + 523208^2 .
It is a Harshad number since it is a multiple of its sum of digits (35).
It is a self number, because there is not a number n which added to its sum of digits gives 343323334340.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52388504 + ... + 52395056.
It is an arithmetic number, because the mean of its divisors is an integer number (5876444203).
Almost surely, 2343323334340 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 343323334340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423103982616).
343323334340 is an abundant number, since it is smaller than the sum of its proper divisors (502884630892).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
343323334340 is a wasteful number, since it uses less digits than its factorization.
343323334340 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7046 (or 7037 counting only the distinct ones).
The product of its (nonzero) digits is 279936, while the sum is 35.
Adding to 343323334340 its reverse (43433323343), we get a palindrome (386756657683).
The spelling of 343323334340 in words is "three hundred forty-three billion, three hundred twenty-three million, three hundred thirty-four thousand, three hundred forty".
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