Base | Representation |
---|---|
bin | 11001010001011… |
… | …011101110101000 |
3 | 1002112211110020102 |
4 | 121101123232220 |
5 | 1332021003144 |
6 | 110023444532 |
7 | 13335641561 |
oct | 3121335650 |
9 | 1075743212 |
10 | 424000424 |
11 | 1a8378881 |
12 | b9bb6748 |
13 | 69ac5833 |
14 | 40451168 |
15 | 27354b4e |
hex | 1945bba8 |
424000424 has 32 divisors (see below), whose sum is σ = 818103240. Its totient is φ = 205920000.
The previous prime is 424000411. The next prime is 424000429.
424000424 is nontrivially palindromic in base 10.
It can be written as a sum of positive squares in 4 ways, for example, as 385336900 + 38663524 = 19630^2 + 6218^2 .
It is a junction number, because it is equal to n+sod(n) for n = 424000396 and 424000405.
It is not an unprimeable number, because it can be changed into a prime (424000429) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37874 + ... + 47774.
Almost surely, 2424000424 is an apocalyptic number.
It is an amenable number.
424000424 is a deficient number, since it is larger than the sum of its proper divisors (394102816).
424000424 is a wasteful number, since it uses less digits than its factorization.
424000424 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10061 (or 10057 counting only the distinct ones).
The product of its (nonzero) digits is 1024, while the sum is 20.
The square root of 424000424 is about 20591.2705776016. The cubic root of 424000424 is about 751.2574012632.
It can be divided in two parts, 424000 and 424, that added together give a palindrome (424424).
The spelling of 424000424 in words is "four hundred twenty-four million, four hundred twenty-four", and thus it is an aban number.
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