307242 has 36 divisors (see below), whose sum is σ = 727974. Its totient is φ = 93600.

The previous prime is 307201. The next prime is 307243. The reversal of 307242 is 242703.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 239121 + 68121 = 489^2 + 261^2 .

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 307242.

It is not an unprimeable number, because it can be changed into a prime (307243) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 2992 + ... + 3092.

2³⁰⁷²⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 307242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363987).

307242 is an abundant number, since it is smaller than the sum of its proper divisors (420732).

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

307242 is a wasteful number, since it uses less digits than its factorization.

307242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 307242 is about 554.2941457385. The cubic root of 307242 is about 67.4776880989.

Adding to 307242 its reverse (242703), we get a palindrome (549945).

The spelling of 307242 in words is "three hundred seven thousand, two hundred forty-two", and thus it is an iban number.