Base | Representation |
---|---|
bin | 10100100001001… |
… | …011100100000000 |
3 | 212222202022211201 |
4 | 110201023210000 |
5 | 1201111224212 |
6 | 54054150544 |
7 | 11350004152 |
oct | 2441134400 |
9 | 788668751 |
10 | 344242432 |
11 | 167352486 |
12 | 97352454 |
13 | 5641b661 |
14 | 33a0cad2 |
15 | 2034cb57 |
hex | 1484b900 |
344242432 has 36 divisors (see below), whose sum is σ = 689287900. Its totient is φ = 171583488.
The previous prime is 344242387. The next prime is 344242501. The reversal of 344242432 is 234242443.
It is a happy number.
It can be written as a sum of positive squares in 2 ways, for example, as 310323456 + 33918976 = 17616^2 + 5824^2 .
It is a self number, because there is not a number n which added to its sum of digits gives 344242432.
It is an unprimeable number.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 87418 + ... + 91270.
Almost surely, 2344242432 is an apocalyptic number.
344242432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 344242432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344643950).
344242432 is an abundant number, since it is smaller than the sum of its proper divisors (345045468).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
344242432 is an equidigital number, since it uses as much as digits as its factorization.
344242432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4218 (or 4204 counting only the distinct ones).
The product of its digits is 18432, while the sum is 28.
The square root of 344242432 is about 18553.7713686463. The cubic root of 344242432 is about 700.8441733865.
Adding to 344242432 its reverse (234242443), we get a palindrome (578484875).
It can be divided in two parts, 34424 and 2432, that added together give a triangular number (36856 = T271).
The spelling of 344242432 in words is "three hundred forty-four million, two hundred forty-two thousand, four hundred thirty-two".
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