Base | Representation |
---|---|
bin | 10100011101101… |
… | …111011111100000 |
3 | 212221001112100020 |
4 | 110131233133200 |
5 | 1200343403044 |
6 | 54022553440 |
7 | 11336231145 |
oct | 2435573740 |
9 | 787045306 |
10 | 343341024 |
11 | 166897214 |
12 | 96b98880 |
13 | 56194290 |
14 | 338563cc |
15 | 20220a19 |
hex | 1476f7e0 |
343341024 has 96 divisors (see below), whose sum is σ = 980388864. Its totient is φ = 104578560.
The previous prime is 343341023. The next prime is 343341029. The reversal of 343341024 is 420143343.
343341024 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 (96).
It is a super-2 number, since 2×3433410242 = 235766117522737152, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a junction number, because it is equal to n+sod(n) for n = 343340985 and 343341003.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (343341023) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127209 + ... + 129879.
It is an arithmetic number, because the mean of its divisors is an integer number (10212384).
Almost surely, 2343341024 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 343341024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490194432).
343341024 is an abundant number, since it is smaller than the sum of its proper divisors (637047840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
343341024 is a wasteful number, since it uses less digits than its factorization.
343341024 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2800 (or 2792 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 24.
The square root of 343341024 is about 18529.4636727564. The cubic root of 343341024 is about 700.2319122739.
Adding to 343341024 its reverse (420143343), we get a palindrome (763484367).
The spelling of 343341024 in words is "three hundred forty-three million, three hundred forty-one thousand, twenty-four".
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