Base | Representation |
---|---|
bin | 11010011111000… |
… | …001100011011000 |
3 | 1010222002211111100 |
4 | 122133001203120 |
5 | 1402222343230 |
6 | 112031431400 |
7 | 14003555115 |
oct | 3237014330 |
9 | 1128084440 |
10 | 444340440 |
11 | 208900605 |
12 | 104985560 |
13 | 7109794b |
14 | 4302790c |
15 | 29021660 |
hex | 1a7c18d8 |
444340440 has 96 divisors (see below), whose sum is σ = 1448675280. Its totient is φ = 118116096.
The previous prime is 444340439. The next prime is 444340447. The reversal of 444340440 is 44043444.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (444340447) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123142 + ... + 126698.
Almost surely, 2444340440 is an apocalyptic number.
444340440 is a gapful number since it is divisible by the number (40) 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 444340440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724337640).
444340440 is an abundant number, since it is smaller than the sum of its proper divisors (1004334840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
444340440 is a wasteful number, since it uses less digits than its factorization.
444340440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3921 (or 3914 counting only the distinct ones).
The product of its (nonzero) digits is 12288, while the sum is 27.
The square root of 444340440 is about 21079.3842414811. The cubic root of 444340440 is about 763.0832960405.
Adding to 444340440 its reverse (44043444), we get a palindrome (488383884).
It can be divided in two parts, 4443404 and 40, that added together give a palindrome (4443444).
The spelling of 444340440 in words is "four hundred forty-four million, three hundred forty thousand, four hundred forty".
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