Base | Representation |
---|---|
bin | 10000101101101010100000 |
3 | 22020121002000 |
4 | 100231222200 |
5 | 2110200334 |
6 | 233524000 |
7 | 52145412 |
oct | 20555240 |
9 | 8217060 |
10 | 4381344 |
11 | 2522850 |
12 | 1573600 |
13 | ba5316 |
14 | 8209b2 |
15 | 5b8299 |
hex | 42daa0 |
4381344 has 96 divisors (see below), whose sum is σ = 13970880. Its totient is φ = 1324800.
The previous prime is 4381319. The next prime is 4381357. The reversal of 4381344 is 4431834.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9274 + ... + 9734.
It is an arithmetic number, because the mean of its divisors is an integer number (145530).
Almost surely, 24381344 is an apocalyptic number.
4381344 is a gapful number since it is divisible by the number (44) 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 4381344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6985440).
4381344 is an abundant number, since it is smaller than the sum of its proper divisors (9589536).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4381344 is a wasteful number, since it uses less digits than its factorization.
4381344 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 491 (or 477 counting only the distinct ones).
The product of its digits is 4608, while the sum is 27.
The square root of 4381344 is about 2093.1660230378. The cubic root of 4381344 is about 163.6323312138.
The spelling of 4381344 in words is "four million, three hundred eighty-one thousand, three hundred forty-four".
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