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442333333 = 1324216217
BaseRepresentation
bin11010010111010…
…111100010010101
31010211022212021001
4122113113202111
51401214131313
6111520423301
713650525361
oct3227274225
91124285231
10442333333
1120775a642
12104177b31
1370844200
1442a642a1
1528c76add
hex1a5d7895

442333333 has 12 divisors (see below), whose sum is σ = 480191268. Its totient is φ = 407272320.

The previous prime is 442333301. The next prime is 442333351. The reversal of 442333333 is 333333244.

It can be written as a sum of positive squares in 6 ways, for example, as 151733124 + 290600209 = 12318^2 + 17047^2 .

It is not a de Polignac number, because 442333333 - 25 = 442333301 is a prime.

It is a Duffinian number.

442333333 is a modest number, since divided by 33333 gives 4423 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442333373) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68041 + ... + 74257.

It is an arithmetic number, because the mean of its divisors is an integer number (40015939).

Almost surely, 2442333333 is an apocalyptic number.

It is an amenable number.

442333333 is a deficient number, since it is larger than the sum of its proper divisors (37857935).

442333333 is a wasteful number, since it uses less digits than its factorization.

442333333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6664 (or 6651 counting only the distinct ones).

The product of its digits is 23328, while the sum is 28.

The square root of 442333333 is about 21031.7220645386. The cubic root of 442333333 is about 761.9326004779.

Adding to 442333333 its reverse (333333244), we get a palindrome (775666577).

The spelling of 442333333 in words is "four hundred forty-two million, three hundred thirty-three thousand, three hundred thirty-three".

Divisors: 1 13 169 421 5473 6217 71149 80821 1050673 2617357 34025641 442333333