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444440340 = 223253177789
BaseRepresentation
bin11010011111011…
…001111100010100
31010222021220112100
4122133121330110
51402234042330
6112033522100
714004452301
oct3237317424
91128256470
10444440340
11208969673
12104a13330
1371101266
14430520a8
1529041060
hex1a7d9f14

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".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 317 634 951 1268 1585 1902 2853 3170 3804 4755 5706 6340 7789 9510 11412 14265 15578 19020 23367 28530 31156 38945 46734 57060 70101 77890 93468 116835 140202 155780 233670 280404 350505 467340 701010 1402020 2469113 4938226 7407339 9876452 12345565 14814678 22222017 24691130 29629356 37036695 44444034 49382260 74073390 88888068 111110085 148146780 222220170 444440340