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444405345 = 351910315139
BaseRepresentation
bin11010011111010…
…001011001100001
31010222020010112020
4122133101121201
51402231432340
6112033052053
714004245256
oct3237213141
91128203466
10444405345
1120894534a
121049b7029
13710bb357
144304342d
15290359d0
hex1a7d1661

444405345 has 32 divisors (see below), whose sum is σ = 755788800. Its totient is φ = 222346944.

The previous prime is 444405343. The next prime is 444405349. The reversal of 444405345 is 543504444.

It is a happy number.

It is not a de Polignac number, because 444405345 - 21 = 444405343 is a prime.

It is a super-2 number, since 2×4444053452 = 394992221329138050, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (444405343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21786 + ... + 36924.

It is an arithmetic number, because the mean of its divisors is an integer number (23618400).

Almost surely, 2444405345 is an apocalyptic number.

It is an amenable number.

444405345 is a deficient number, since it is larger than the sum of its proper divisors (311383455).

444405345 is a wasteful number, since it uses less digits than its factorization.

444405345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15269.

The product of its (nonzero) digits is 76800, while the sum is 33.

The square root of 444405345 is about 21080.9237226456. The cubic root of 444405345 is about 763.1204488671.

Adding to 444405345 its reverse (543504444), we get a palindrome (987909789).

Subtracting 444405345 from its reverse (543504444), we obtain a palindrome (99099099).

The spelling of 444405345 in words is "four hundred forty-four million, four hundred five thousand, three hundred forty-five".

Divisors: 1 3 5 15 19 57 95 103 285 309 515 1545 1957 5871 9785 15139 29355 45417 75695 227085 287641 862923 1438205 1559317 4314615 4677951 7796585 23389755 29627023 88881069 148135115 444405345