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442342881 = 32371328357
BaseRepresentation
bin11010010111011…
…001110111100001
31010211100100100200
4122113121313201
51401214433011
6111520535413
713650565251
oct3227316741
91124310320
10442342881
11207766832
12104181569
1370848666
1442a67961
1528c79856
hex1a5d9de1

442342881 has 12 divisors (see below), whose sum is σ = 656208852. Its totient is φ = 286924896.

The previous prime is 442342871. The next prime is 442342889. The reversal of 442342881 is 188243244.

It can be written as a sum of positive squares in 2 ways, for example, as 203918400 + 238424481 = 14280^2 + 15441^2 .

It is a de Polignac number, because none of the positive numbers 2k-442342881 is a prime.

It is a super-2 number, since 2×4423428812 = 391334448742760322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (442342889) 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, 663846 + ... + 664511.

It is an arithmetic number, because the mean of its divisors is an integer number (54684071).

Almost surely, 2442342881 is an apocalyptic number.

It is an amenable number.

442342881 is a deficient number, since it is larger than the sum of its proper divisors (213865971).

442342881 is a wasteful number, since it uses less digits than its factorization.

442342881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328400 (or 1328397 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 442342881 is about 21031.9490537610. The cubic root of 442342881 is about 761.9380826785.

The spelling of 442342881 in words is "four hundred forty-two million, three hundred forty-two thousand, eight hundred eighty-one".

Divisors: 1 3 9 37 111 333 1328357 3985071 11955213 49149209 147447627 442342881