352000242 has 80 divisors (see below), whose sum is σ = 876915072. Its totient is φ = 104626080.

The previous prime is 352000241. The next prime is 352000247. The reversal of 352000242 is 242000253.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (352000241) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 92583 + ... + 96309.

Almost surely, 2^352000242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352000242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438457536).

352000242 is an abundant number, since it is smaller than the sum of its proper divisors (524914830).

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

352000242 is a wasteful number, since it uses less digits than its factorization.

352000242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3805 (or 3796 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 352000242 is about 18761.6694886143. The cubic root of 352000242 is about 706.0698288728.

Adding to 352000242 its reverse (242000253), we get a palindrome (594000495).

It can be divided in two parts, 352000 and 242, that multiplied together give a cube (85184000 = 440³).

The spelling of 352000242 in words is "three hundred fifty-two million, two hundred forty-two", and thus it is an aban number.