Base | Representation |
---|---|
bin | 1010011111111010000 |
3 | 122110220100 |
4 | 1103333100 |
5 | 42002031 |
6 | 11212400 |
7 | 2631651 |
oct | 1237720 |
9 | 573810 |
10 | 344016 |
11 | 215512 |
12 | 147100 |
13 | c077a |
14 | 8d528 |
15 | 6bde6 |
hex | 53fd0 |
344016 has 30 divisors (see below), whose sum is σ = 963170. Its totient is φ = 114624.
The previous prime is 343997. The next prime is 344017. The reversal of 344016 is 610443.
344016 is nontrivially palindromic in base 11.
344016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in only one way, i.e., 254016 + 90000 = 504^2 + 300^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a self number, because there is not a number n which added to its sum of digits gives 344016.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (344017) by changing a digit.
344016 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 5 ways as a sum of consecutive naturals, for example, 1051 + ... + 1338.
2344016 is an apocalyptic number.
344016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.
It is an amenable number.
344016 is an abundant number, since it is smaller than the sum of its proper divisors (619154).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
344016 is a wasteful number, since it uses less digits than its factorization.
344016 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2403 (or 2394 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 344016 is about 586.5287716728. The cubic root of 344016 is about 70.0690475159.
Adding to 344016 its reverse (610443), we get a palindrome (954459).
The spelling of 344016 in words is "three hundred forty-four thousand, sixteen".
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