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442314211 = 1724335593
BaseRepresentation
bin11010010111010…
…010110111100011
31010211021220000211
4122113102313203
51401213023321
6111520154551
713650415543
oct3227226743
91124256024
10442314211
11207747239
12104168a57
13708385b1
1442a5b323
1528c710e1
hex1a5d2de3

442314211 has 12 divisors (see below), whose sum is σ = 480803752. Its totient is φ = 406603008.

The previous prime is 442314199. The next prime is 442314251. The reversal of 442314211 is 112413244.

It is a happy number.

It is not a de Polignac number, because 442314211 - 215 = 442281443 is a prime.

It is a super-2 number, since 2×4423142112 = 391283722505105042, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (442314251) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5370 + ... + 30223.

Almost surely, 2442314211 is an apocalyptic number.

442314211 is a deficient number, since it is larger than the sum of its proper divisors (38489541).

442314211 is a wasteful number, since it uses less digits than its factorization.

442314211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35670 (or 35653 counting only the distinct ones).

The product of its digits is 768, while the sum is 22.

The square root of 442314211 is about 21031.2674606168. The cubic root of 442314211 is about 761.9216209111.

Adding to 442314211 its reverse (112413244), we get a palindrome (554727455).

The spelling of 442314211 in words is "four hundred forty-two million, three hundred fourteen thousand, two hundred eleven".

Divisors: 1 17 43 289 731 12427 35593 605081 1530499 10286377 26018483 442314211