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440707345 = 513291132069
BaseRepresentation
bin11010010001001…
…010100100010001
31010201021020211021
4122101022210101
51400310113340
6111421515441
713630644031
oct3221124421
91121236737
10440707345
11206849a51
12103712b81
13703c50a0
144275d8c1
1528a54e4a
hex1a44a911

440707345 has 32 divisors (see below), whose sum is σ = 594669600. Its totient is φ = 311291904.

The previous prime is 440707343. The next prime is 440707357. The reversal of 440707345 is 543707044.

It can be written as a sum of positive squares in 16 ways, for example, as 371101696 + 69605649 = 19264^2 + 8343^2 .

It is a 3-Lehmer number, since φ(440707345) divides (440707345-1)3.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 440707345 - 21 = 440707343 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 440707345.

It is not an unprimeable number, because it can be changed into a prime (440707343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211971 + ... + 214039.

It is an arithmetic number, because the mean of its divisors is an integer number (18583425).

It is a Poulet number, since it divides 2440707344-1.

Almost surely, 2440707345 is an apocalyptic number.

It is an amenable number.

440707345 is a deficient number, since it is larger than the sum of its proper divisors (153962255).

440707345 is a wasteful number, since it uses less digits than its factorization.

440707345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2229.

The product of its (nonzero) digits is 47040, while the sum is 34.

The square root of 440707345 is about 20993.0308674093. The cubic root of 440707345 is about 760.9978496085.

It can be divided in two parts, 44070 and 7345, that added together give a palindrome (51415).

The spelling of 440707345 in words is "four hundred forty million, seven hundred seven thousand, three hundred forty-five".

Divisors: 1 5 13 29 65 113 145 377 565 1469 1885 2069 3277 7345 10345 16385 26897 42601 60001 134485 213005 233797 300005 780013 1168985 3039361 3900065 6780113 15196805 33900565 88141469 440707345