303952 has 30 divisors (see below), whose sum is σ = 651434. Its totient is φ = 137280.

The previous prime is 303937. The next prime is 303959. The reversal of 303952 is 259303.

It can be written as a sum of positive squares in only one way, i.e., 234256 + 69696 = 484^2 + 264^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (303959) by changing a digit.

303952 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 5 ways as a sum of consecutive naturals, for example, 1858 + ... + 2014.

2³⁰³⁹⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 303952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325717).

303952 is an abundant number, since it is smaller than the sum of its proper divisors (347482).

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

303952 is a wasteful number, since it uses less digits than its factorization.

303952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 22.

The square root of 303952 is about 551.3184197902. The cubic root of 303952 is about 67.2359690282.

The spelling of 303952 in words is "three hundred three thousand, nine hundred fifty-two".