353782242 has 160 divisors (see below), whose sum is σ = 935320320. Its totient is φ = 99202320.

The previous prime is 353782229. The next prime is 353782259. The reversal of 353782242 is 242287353.

353782242 is a `hidden beast` number, since 3 + 537 + 82 + 2 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 353782197 and 353782206.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 8227473 + ... + 8227515.

It is an arithmetic number, because the mean of its divisors is an integer number (5845752).

Almost surely, 2^353782242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 353782242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467660160).

353782242 is an abundant number, since it is smaller than the sum of its proper divisors (581538078).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

353782242 is an equidigital number, since it uses as much as digits as its factorization.

353782242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 78 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 353782242 is about 18809.0999784679. The cubic root of 353782242 is about 707.2593158844.

The spelling of 353782242 in words is "three hundred fifty-three million, seven hundred eighty-two thousand, two hundred forty-two".