Base | Representation |
---|---|
bin | 10100100001000… |
… | …010011101011000 |
3 | 212222200102200200 |
4 | 110201002131120 |
5 | 1201104031034 |
6 | 54053302200 |
7 | 11346460353 |
oct | 2441023530 |
9 | 788612620 |
10 | 344205144 |
11 | 167327468 |
12 | 97334960 |
13 | 564076aa |
14 | 339dd29a |
15 | 20341a99 |
hex | 14842758 |
344205144 has 96 divisors (see below), whose sum is σ = 949166400. Its totient is φ = 112674240.
The previous prime is 344205139. The next prime is 344205149. The reversal of 344205144 is 441502443.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (344205139) and next prime (344205149).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (344205149) by changing a digit.
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 23 ways as a sum of consecutive naturals, for example, 1631199 + ... + 1631409.
It is an arithmetic number, because the mean of its divisors is an integer number (9887150).
Almost surely, 2344205144 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 344205144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474583200).
344205144 is an abundant number, since it is smaller than the sum of its proper divisors (604961256).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
344205144 is a wasteful number, since it uses less digits than its factorization.
344205144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 525 (or 518 counting only the distinct ones).
The product of its (nonzero) digits is 7680, while the sum is 27.
The square root of 344205144 is about 18552.7664783449. The cubic root of 344205144 is about 700.8188675567.
Adding to 344205144 its reverse (441502443), we get a palindrome (785707587).
The spelling of 344205144 in words is "three hundred forty-four million, two hundred five thousand, one hundred forty-four".
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