Base | Representation |
---|---|
bin | 11001010011000… |
… | …111010111110100 |
3 | 1002120122212001100 |
4 | 121103013113310 |
5 | 1332124110312 |
6 | 110041130100 |
7 | 13342456200 |
oct | 3123072764 |
9 | 1076585040 |
10 | 424441332 |
11 | 1a864a067 |
12 | ba189930 |
13 | 69c1b423 |
14 | 40527b00 |
15 | 273e05dc |
hex | 194c75f4 |
424441332 has 108 divisors (see below), whose sum is σ = 1291251780. Its totient is φ = 117073152.
The previous prime is 424441301. The next prime is 424441351. The reversal of 424441332 is 233144424.
It is a happy number.
424441332 is a `hidden beast` number, since 4 + 244 + 413 + 3 + 2 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 352463076 + 71978256 = 18774^2 + 8484^2 .
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 424441296 and 424441305.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 47008 + ... + 55304.
It is an arithmetic number, because the mean of its divisors is an integer number (11956035).
Almost surely, 2424441332 is an apocalyptic number.
424441332 is a gapful number since it is divisible by the number (42) 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 424441332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645625890).
424441332 is an abundant number, since it is smaller than the sum of its proper divisors (866810448).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
424441332 is a wasteful number, since it uses less digits than its factorization.
424441332 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8350 (or 8338 counting only the distinct ones).
The product of its digits is 9216, while the sum is 27.
The square root of 424441332 is about 20601.9739830920. The cubic root of 424441332 is about 751.5177159792.
Adding to 424441332 its reverse (233144424), we get a palindrome (657585756).
The spelling of 424441332 in words is "four hundred twenty-four million, four hundred forty-one thousand, three hundred thirty-two".
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