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444444345 = 325174359229
BaseRepresentation
bin11010011111011…
…010111010111001
31010222022010000200
4122133122322321
51402234204340
6112033552413
714004500052
oct3237327271
91128263020
10444444345
11208971684
12104a15709
1371103027
1443053729
1529042330
hex1a7daeb9

444444345 has 96 divisors (see below), whose sum is σ = 852508800. Its totient is φ = 213276672.

The previous prime is 444444337. The next prime is 444444391. The reversal of 444444345 is 543444444.

It is not a de Polignac number, because 444444345 - 23 = 444444337 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1940691 + ... + 1940919.

It is an arithmetic number, because the mean of its divisors is an integer number (8880300).

Almost surely, 2444444345 is an apocalyptic number.

444444345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

444444345 is a deficient number, since it is larger than the sum of its proper divisors (408064455).

444444345 is a wasteful number, since it uses less digits than its factorization.

444444345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 356 counting only the distinct ones).

The product of its digits is 245760, while the sum is 36.

The square root of 444444345 is about 21081.8487092570. The cubic root of 444444345 is about 763.1427714511.

Adding to 444444345 its reverse (543444444), we get a palindrome (987888789).

Subtracting 444444345 from its reverse (543444444), we obtain a palindrome (99000099).

The spelling of 444444345 in words is "four hundred forty-four million, four hundred forty-four thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 17 43 45 51 59 85 129 153 177 215 229 255 295 387 531 645 687 731 765 885 1003 1145 1935 2061 2193 2537 2655 3009 3435 3655 3893 5015 6579 7611 9027 9847 10305 10965 11679 12685 13511 15045 19465 22833 29541 32895 35037 38055 40533 43129 45135 49235 58395 67555 88623 114165 121599 129387 147705 167399 175185 202665 215645 229687 388161 443115 502197 580973 607995 646935 689061 836995 1148435 1506591 1742919 1940805 2067183 2510985 2904865 3445305 5228757 7532955 8714595 9876541 10335915 26143785 29629623 49382705 88888869 148148115 444444345