Base | Representation |
---|---|
bin | 101100000100010100000 |
3 | 2201100210111 |
4 | 11200202200 |
5 | 332202000 |
6 | 50541104 |
7 | 15162625 |
oct | 5404240 |
9 | 2640714 |
10 | 1444000 |
11 | 8a6998 |
12 | 597794 |
13 | 3b734c |
14 | 29834c |
15 | 1d7cba |
hex | 1608a0 |
1444000 has 72 divisors (see below), whose sum is σ = 3744468. Its totient is φ = 547200.
The previous prime is 1443989. The next prime is 1444007. The reversal of 1444000 is 4441.
It is a happy number.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 2 ways, for example, as 976144 + 467856 = 988^2 + 684^2 .
It is an Ulam number.
It is not an unprimeable number, because it can be changed into a prime (1444007) 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, 75991 + ... + 76009.
21444000 is an apocalyptic number.
1444000 is a gapful number since it is divisible by the number (10) 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 1444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872234).
1444000 is an abundant number, since it is smaller than the sum of its proper divisors (2300468).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1444000 is an equidigital number, since it uses as much as digits as its factorization.
1444000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 63 (or 26 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 13.
The square root of 1444000 is about 1201.6655108640. The cubic root of 1444000 is about 113.0287863592.
Adding to 1444000 its reverse (4441), we get a palindrome (1448441).
The spelling of 1444000 in words is "one million, four hundred forty-four thousand".
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