384306 has 24 divisors (see below), whose sum is σ = 834480. Its totient is φ = 117936.

The previous prime is 384301. The next prime is 384317. The reversal of 384306 is 603483.

It is a super-2 number, since 2×384306² = 295382203272, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (384301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 825 + ... + 1203.

It is an arithmetic number, because the mean of its divisors is an integer number (34770).

2³⁸⁴³⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417240).

384306 is an abundant number, since it is smaller than the sum of its proper divisors (450174).

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

384306 is a wasteful number, since it uses less digits than its factorization.

384306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 384306 is about 619.9241889135. The cubic root of 384306 is about 72.7041254935.

Adding to 384306 its reverse (603483), we get a palindrome (987789).

The spelling of 384306 in words is "three hundred eighty-four thousand, three hundred six".