Base | Representation |
---|---|
bin | 11001010011000… |
… | …100101100010000 |
3 | 1002120122021222200 |
4 | 121103010230100 |
5 | 1332123232402 |
6 | 110041003200 |
7 | 13342412163 |
oct | 3123045420 |
9 | 1076567880 |
10 | 424430352 |
11 | 1a8641895 |
12 | ba183500 |
13 | 69c16428 |
14 | 40523ada |
15 | 273dc21c |
hex | 194c4b10 |
424430352 has 60 divisors (see below), whose sum is σ = 1192339980. Its totient is φ = 140937984.
The previous prime is 424430329. The next prime is 424430371. The reversal of 424430352 is 253034424.
It can be written as a sum of positive squares in 2 ways, for example, as 129140496 + 295289856 = 11364^2 + 17184^2 .
It is a super-2 number, since 2×4244303522 = 360282247397687808, which contains 22 as substring.
It is an unprimeable number.
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 11 ways as a sum of consecutive naturals, for example, 33258 + ... + 44214.
It is an arithmetic number, because the mean of its divisors is an integer number (19872333).
Almost surely, 2424430352 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 424430352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596169990).
424430352 is an abundant number, since it is smaller than the sum of its proper divisors (767909628).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
424430352 is a wasteful number, since it uses less digits than its factorization.
424430352 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11240 (or 11231 counting only the distinct ones).
The product of its (nonzero) digits is 11520, while the sum is 27.
The square root of 424430352 is about 20601.7075020494. The cubic root of 424430352 is about 751.5112355110.
Adding to 424430352 its reverse (253034424), we get a palindrome (677464776).
It can be divided in two parts, 4244 and 30352, that added together give a square (34596 = 1862).
The spelling of 424430352 in words is "four hundred twenty-four million, four hundred thirty thousand, three hundred fifty-two".
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