Base | Representation |
---|---|
bin | 11010011111011… |
… | …001111100010100 |
3 | 1010222021220112100 |
4 | 122133121330110 |
5 | 1402234042330 |
6 | 112033522100 |
7 | 14004452301 |
oct | 3237317424 |
9 | 1128256470 |
10 | 444440340 |
11 | 208969673 |
12 | 104a13330 |
13 | 71101266 |
14 | 430520a8 |
15 | 29041060 |
hex | 1a7d9f14 |
444440340 has 72 divisors (see below), whose sum is σ = 1352562120. Its totient is φ = 118128384.
The previous prime is 444440291. The next prime is 444440371. The reversal of 444440340 is 43044444.
It can be written as a sum of positive squares in 4 ways, for example, as 3944196 + 440496144 = 1986^2 + 20988^2 .
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53166 + ... + 60954.
It is an arithmetic number, because the mean of its divisors is an integer number (18785585).
Almost surely, 2444440340 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 444440340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676281060).
444440340 is an abundant number, since it is smaller than the sum of its proper divisors (908121780).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
444440340 is a wasteful number, since it uses less digits than its factorization.
444440340 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8121 (or 8116 counting only the distinct ones).
The product of its (nonzero) digits is 12288, while the sum is 27.
The square root of 444440340 is about 21081.7537221171. The cubic root of 444440340 is about 763.1404791536.
Adding to 444440340 its reverse (43044444), we get a palindrome (487484784).
The spelling of 444440340 in words is "four hundred forty-four million, four hundred forty thousand, three hundred forty".
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