Base | Representation |
---|---|
bin | 10100100000101… |
… | …101101100111000 |
3 | 212222112010001122 |
4 | 110200231230320 |
5 | 1201043320440 |
6 | 54051404412 |
7 | 11345654441 |
oct | 2440555470 |
9 | 788463048 |
10 | 344120120 |
11 | 1672795a3 |
12 | 972b3708 |
13 | 563a7a96 |
14 | 339ba2c8 |
15 | 203267b5 |
hex | 1482db38 |
344120120 has 64 divisors (see below), whose sum is σ = 822337920. Its totient is φ = 129153024.
The previous prime is 344120083. The next prime is 344120123. The reversal of 344120120 is 21021443.
It is a Harshad number since it is a multiple of its sum of digits (17).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (344120123) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 314294 + ... + 315386.
It is an arithmetic number, because the mean of its divisors is an integer number (12849030).
Almost surely, 2344120120 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 344120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411168960).
344120120 is an abundant number, since it is smaller than the sum of its proper divisors (478217800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
344120120 is a wasteful number, since it uses less digits than its factorization.
344120120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1584 (or 1580 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 17.
The square root of 344120120 is about 18550.4749265349. The cubic root of 344120120 is about 700.7611584343.
Adding to 344120120 its reverse (21021443), we get a palindrome (365141563).
The spelling of 344120120 in words is "three hundred forty-four million, one hundred twenty thousand, one hundred twenty".
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