341824 has 42 divisors (see below), whose sum is σ = 796290. Its totient is φ = 145152.

The previous prime is 341821. The next prime is 341827. The reversal of 341824 is 428143.

341824 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (341821) and next prime (341827).

It can be written as a sum of positive squares in only one way, i.e., 313600 + 28224 = 560^2 + 168^2 .

It is a junction number, because it is equal to n+sod(n) for n = 341795 and 341804.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 341824.

It is not an unprimeable number, because it can be changed into a prime (341821) 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, 3082 + ... + 3190.

2³⁴¹⁸²⁴ 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 341824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398145).

341824 is an abundant number, since it is smaller than the sum of its proper divisors (454466).

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

341824 is a wasteful number, since it uses less digits than its factorization.

341824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 118 counting only the distinct ones).

The product of its digits is 768, while the sum is 22.

The square root of 341824 is about 584.6571644990. The cubic root of 341824 is about 69.9199083969.

Subtracting from 341824 its product of digits (768), we obtain a square (341056 = 584²).

Adding to 341824 its reverse (428143), we get a palindrome (769967).

The spelling of 341824 in words is "three hundred forty-one thousand, eight hundred twenty-four".