Base | Representation |
---|---|
bin | 11001110000110… |
… | …111111011111000 |
3 | 1010010100012010200 |
4 | 121300313323320 |
5 | 1341123224144 |
6 | 110520242200 |
7 | 13465666665 |
oct | 3160677370 |
9 | 1103305120 |
10 | 432242424 |
11 | 201a98149 |
12 | 100910360 |
13 | 6b720163 |
14 | 41598a6c |
15 | 27e31c69 |
hex | 19c37ef8 |
432242424 has 72 divisors (see below), whose sum is σ = 1209831480. Its totient is φ = 139410720.
The previous prime is 432242413. The next prime is 432242441. The reversal of 432242424 is 424242234.
It is a tau number, because it is divible by the number of its divisors (72).
It is a nude number because it is divisible by every one of its digits.
432242424 is a modest number, since divided by 242424 gives 432 as remainder.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 66069 + ... + 72315.
It is an arithmetic number, because the mean of its divisors is an integer number (16803215).
Almost surely, 2432242424 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 432242424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604915740).
432242424 is an abundant number, since it is smaller than the sum of its proper divisors (777589056).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
432242424 is a wasteful number, since it uses less digits than its factorization.
432242424 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6321 (or 6283 counting only the distinct ones).
The product of its digits is 12288, while the sum is 27.
The square root of 432242424 is about 20790.4406879700. The cubic root of 432242424 is about 756.0940086337.
Adding to 432242424 its reverse (424242234), we get a palindrome (856484658).
The spelling of 432242424 in words is "four hundred thirty-two million, two hundred forty-two thousand, four hundred twenty-four".
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