305352 has 24 divisors (see below), whose sum is σ = 827190. Its totient is φ = 101760.

The previous prime is 305351. The next prime is 305353. The reversal of 305352 is 253503.

It is an interprime number because it is at equal distance from previous prime (305351) and next prime (305353).

It can be written as a sum of positive squares in only one way, i.e., 171396 + 133956 = 414^2 + 366^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 (305351) 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 5 ways as a sum of consecutive naturals, for example, 2049 + ... + 2192.

2³⁰⁵³⁵² is an apocalyptic number.

It is an amenable number.

305352 is an abundant number, since it is smaller than the sum of its proper divisors (521838).

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

305352 is a wasteful number, since it uses less digits than its factorization.

305352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4253 (or 4246 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 305352 is about 552.5866447898. The cubic root of 305352 is about 67.3390403510.

Adding to 305352 its reverse (253503), we get a palindrome (558855).

The spelling of 305352 in words is "three hundred five thousand, three hundred fifty-two".