Base | Representation |
---|---|
bin | 10100100001111… |
… | …001111000010000 |
3 | 220000002222002002 |
4 | 110201321320100 |
5 | 1201133312034 |
6 | 54102213132 |
7 | 11351424230 |
oct | 2441717020 |
9 | 800088062 |
10 | 344432144 |
11 | 167471a71 |
12 | 974241a8 |
13 | 56486b04 |
14 | 33a5bcc0 |
15 | 20388e7e |
hex | 14879e10 |
344432144 has 80 divisors (see below), whose sum is σ = 789699456. Its totient is φ = 142464000.
The previous prime is 344432141. The next prime is 344432167. The reversal of 344432144 is 441234443.
It is a happy number.
It is not an unprimeable number, because it can be changed into a prime (344432141) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 490994 + ... + 491694.
Almost surely, 2344432144 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 344432144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394849728).
344432144 is an abundant number, since it is smaller than the sum of its proper divisors (445267312).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
344432144 is a wasteful number, since it uses less digits than its factorization.
344432144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 864 (or 858 counting only the distinct ones).
The product of its digits is 18432, while the sum is 29.
The square root of 344432144 is about 18558.8831560523. The cubic root of 344432144 is about 700.9728948150.
Adding to 344432144 its reverse (441234443), we get a palindrome (785666587).
The spelling of 344432144 in words is "three hundred forty-four million, four hundred thirty-two thousand, one hundred forty-four".
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