302984 has 24 divisors (see below), whose sum is σ = 626430. Its totient is φ = 137280.

The previous prime is 302983. The next prime is 302989. The reversal of 302984 is 489203.

302984 = T₃₅ + T₃₆ + ... + T₁₂₂.

It can be written as a sum of positive squares in only one way, i.e., 302500 + 484 = 550^2 + 22^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 302984.

It is not an unprimeable number, because it can be changed into a prime (302983) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 812 + ... + 1124.

2³⁰²⁹⁸⁴ 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 302984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313215).

302984 is an abundant number, since it is smaller than the sum of its proper divisors (323446).

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

302984 is a wasteful number, since it uses less digits than its factorization.

302984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 302984 is about 550.4398241407. The cubic root of 302984 is about 67.1645173601.

It can be divided in two parts, 3029 and 84, that added together give a palindrome (3113).

The spelling of 302984 in words is "three hundred two thousand, nine hundred eighty-four".