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442205345 = 5341325913
BaseRepresentation
bin11010010110111…
…000010010100001
31010211002100200202
4122112320102201
51401201032340
6111513554545
713646453261
oct3226702241
91124070622
10442205345
1120768246a
12104115a55
13707cab8a
1442a2d7a1
1528c4dc15
hex1a5b84a1

442205345 has 8 divisors (see below), whose sum is σ = 530822376. Its totient is φ = 353646976.

The previous prime is 442205321. The next prime is 442205347. The reversal of 442205345 is 543502244.

It can be written as a sum of positive squares in 4 ways, for example, as 162613504 + 279591841 = 12752^2 + 16721^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 442205345 - 216 = 442139809 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (442205347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4109 + ... + 30021.

It is an arithmetic number, because the mean of its divisors is an integer number (66352797).

Almost surely, 2442205345 is an apocalyptic number.

It is an amenable number.

442205345 is a deficient number, since it is larger than the sum of its proper divisors (88617031).

442205345 is a wasteful number, since it uses less digits than its factorization.

442205345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29331.

The product of its (nonzero) digits is 19200, while the sum is 29.

The square root of 442205345 is about 21028.6791073524. The cubic root of 442205345 is about 761.8591056499.

Adding to 442205345 its reverse (543502244), we get a palindrome (985707589).

The spelling of 442205345 in words is "four hundred forty-two million, two hundred five thousand, three hundred forty-five".

Divisors: 1 5 3413 17065 25913 129565 88441069 442205345