344520 has 128 divisors (see below), whose sum is σ = 1296000. Its totient is φ = 80640.

The previous prime is 344497. The next prime is 344543. The reversal of 344520 is 25443.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (344497) and next prime (344543).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 3⁷ + 4² + 5⁷ + 4⁹ + 2¹¹ + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 344493 and 344502.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 11866 + ... + 11894.

It is an arithmetic number, because the mean of its divisors is an integer number (10125).

2³⁴⁴⁵²⁰ is an apocalyptic number.

344520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648000).

344520 is an abundant number, since it is smaller than the sum of its proper divisors (951480).

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

344520 is a wasteful number, since it uses less digits than its factorization.

344520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 344520 is about 586.9582608670. The cubic root of 344520 is about 70.1032489949.

Adding to 344520 its reverse (25443), we get a palindrome (369963).

It can be divided in two parts, 34 and 4520, that added together give a palindrome (4554).

The spelling of 344520 in words is "three hundred forty-four thousand, five hundred twenty".