303642 has 16 divisors (see below), whose sum is σ = 674880. Its totient is φ = 101196.

The previous prime is 303619. The next prime is 303643. The reversal of 303642 is 246303.

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

It is a d-powerful number, because it can be written as 3⁶ + 0 + 6⁷ + 3⁸ + 4⁷ + 2⁵ .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 303642.

It is not an unprimeable number, because it can be changed into a prime (303643) by changing a digit.

303642 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2758 + ... + 2865.

It is an arithmetic number, because the mean of its divisors is an integer number (42180).

2³⁰³⁶⁴² is an apocalyptic number.

303642 is an abundant number, since it is smaller than the sum of its proper divisors (371238).

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

303642 is a wasteful number, since it uses less digits than its factorization.

303642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5634 (or 5628 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 303642 is about 551.0372038257. The cubic root of 303642 is about 67.2131033122.

Adding to 303642 its reverse (246303), we get a palindrome (549945).

The spelling of 303642 in words is "three hundred three thousand, six hundred forty-two".