Base | Representation |
---|---|
bin | 1101100011001111000 |
3 | 211120002100 |
4 | 1230121320 |
5 | 103202044 |
6 | 13303400 |
7 | 3526350 |
oct | 1543170 |
9 | 746070 |
10 | 444024 |
11 | 283669 |
12 | 194b60 |
13 | 127149 |
14 | b7b60 |
15 | 8b869 |
hex | 6c678 |
444024 has 48 divisors (see below), whose sum is σ = 1375920. Its totient is φ = 126720.
The previous prime is 444007. The next prime is 444029. The reversal of 444024 is 420444.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 443988 and 444006.
It is a congruent number.
It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 444024.
It is not an unprimeable number, because it can be changed into a prime (444029) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64 + ... + 944.
It is an arithmetic number, because the mean of its divisors is an integer number (28665).
2444024 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 444024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687960).
444024 is an abundant number, since it is smaller than the sum of its proper divisors (931896).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
444024 is a wasteful number, since it uses less digits than its factorization.
444024 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 900 (or 893 counting only the distinct ones).
The product of its (nonzero) digits is 512, while the sum is 18.
The square root of 444024 is about 666.3512587217. The cubic root of 444024 is about 76.2902108074.
Adding to 444024 its reverse (420444), we get a palindrome (864468).
The spelling of 444024 in words is "four hundred forty-four thousand, twenty-four", and thus it is an iban number.
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