Base | Representation |
---|---|
bin | 10001000110000101000000 |
3 | 22102200020201 |
4 | 101012011000 |
5 | 2121400334 |
6 | 240014544 |
7 | 53043100 |
oct | 21060500 |
9 | 8380221 |
10 | 4481344 |
11 | 259099a |
12 | 1601454 |
13 | c0b9aa |
14 | 849200 |
15 | 5d7c14 |
hex | 446140 |
4481344 has 42 divisors (see below), whose sum is σ = 10351770. Its totient is φ = 1919232.
The previous prime is 4481339. The next prime is 4481363. The reversal of 4481344 is 4431844.
4481344 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in only one way, i.e., 2822400 + 1658944 = 1680^2 + 1288^2 .
It is a Harshad number since it is a multiple of its sum of digits (28).
4481344 is a modest number, since divided by 1344 gives 448 as remainder.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2422 + ... + 3850.
Almost surely, 24481344 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 4481344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5175885).
4481344 is an abundant number, since it is smaller than the sum of its proper divisors (5870426).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4481344 is a wasteful number, since it uses less digits than its factorization.
With its successor (4481345) it forms an eRAP, since the sums of their prime factors are consecutive (1455 and 1456).
4481344 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1455 (or 1438 counting only the distinct ones).
The product of its digits is 6144, while the sum is 28.
The square root of 4481344 is about 2116.9185152008. The cubic root of 4481344 is about 164.8678954853.
The spelling of 4481344 in words is "four million, four hundred eighty-one thousand, three hundred forty-four".
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