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442323441 = 32721003001
BaseRepresentation
bin11010010111010…
…101000111110001
31010211022100200200
4122113111013301
51401213322231
6111520305413
713650454500
oct3227250761
91124270620
10442323441
1120775316a
12104172269
137083c861
1442a60837
1528c73be6
hex1a5d51f1

442323441 has 18 divisors (see below), whose sum is σ = 743224482. Its totient is φ = 252756000.

The previous prime is 442323403. The next prime is 442323463. The reversal of 442323441 is 144323244.

It is a happy number.

442323441 is a `hidden beast` number, since 4 + 423 + 234 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 397165041 + 45158400 = 19929^2 + 6720^2 .

It is not a de Polignac number, because 442323441 - 26 = 442323377 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (442323041) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 501060 + ... + 501941.

It is an arithmetic number, because the mean of its divisors is an integer number (41290249).

Almost surely, 2442323441 is an apocalyptic number.

It is an amenable number.

442323441 is a deficient number, since it is larger than the sum of its proper divisors (300901041).

442323441 is a wasteful number, since it uses less digits than its factorization.

442323441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003021 (or 1003011 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 442323441 is about 21031.4868946539. The cubic root of 442323441 is about 761.9269206788.

Adding to 442323441 its reverse (144323244), we get a palindrome (586646685).

The spelling of 442323441 in words is "four hundred forty-two million, three hundred twenty-three thousand, four hundred forty-one".

Divisors: 1 3 7 9 21 49 63 147 441 1003001 3009003 7021007 9027009 21063021 49147049 63189063 147441147 442323441