305240 has 32 divisors (see below), whose sum is σ = 740880. Its totient is φ = 112512.

The previous prime is 305237. The next prime is 305243. The reversal of 305240 is 42503.

305240 = T₁₀₃ + T₁₀₄ + ... + T₁₄₂.

It is an interprime number because it is at equal distance from previous prime (305237) and next prime (305243).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305243) 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 7 ways as a sum of consecutive naturals, for example, 227 + ... + 813.

2³⁰⁵²⁴⁰ 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 305240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370440).

305240 is an abundant number, since it is smaller than the sum of its proper divisors (435640).

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

305240 is a wasteful number, since it uses less digits than its factorization.

305240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 305240 is about 552.4852939219. The cubic root of 305240 is about 67.3308062531.

Adding to 305240 its reverse (42503), we get a palindrome (347743).

It can be divided in two parts, 305 and 240, that added together give a palindrome (545).

The spelling of 305240 in words is "three hundred five thousand, two hundred forty".