Base | Representation |
---|---|
bin | 11001010010101… |
… | …010100101100000 |
3 | 1002120102212022101 |
4 | 121102222211200 |
5 | 1332111322144 |
6 | 110034420144 |
7 | 13341455350 |
oct | 3122524540 |
9 | 1076385271 |
10 | 424323424 |
11 | 1a8579518 |
12 | ba131654 |
13 | 69ba9865 |
14 | 404d6b60 |
15 | 273ba6d4 |
hex | 194aa960 |
424323424 has 48 divisors (see below), whose sum is σ = 957954816. Its totient is φ = 181238400.
The previous prime is 424323401. The next prime is 424323461.
It is a happy number.
424323424 is nontrivially palindromic in base 10.
It is a Harshad number since it is a multiple of its sum of digits (28).
It is a junction number, because it is equal to n+sod(n) for n = 424323392 and 424323401.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66619 + ... + 72709.
It is an arithmetic number, because the mean of its divisors is an integer number (19957392).
Almost surely, 2424323424 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 424323424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478977408).
424323424 is an abundant number, since it is smaller than the sum of its proper divisors (533631392).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
424323424 is a wasteful number, since it uses less digits than its factorization.
424323424 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6419 (or 6411 counting only the distinct ones).
The product of its digits is 18432, while the sum is 28.
The square root of 424323424 is about 20599.1122138795. The cubic root of 424323424 is about 751.4481200574.
The spelling of 424323424 in words is "four hundred twenty-four million, three hundred twenty-three thousand, four hundred twenty-four".
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