343420320 has 96 divisors (see below), whose sum is σ = 1119121920. Its totient is φ = 88417280.

The previous prime is 343420313. The next prime is 343420321. The reversal of 343420320 is 23024343.

343420320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (343420321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1585 + ... + 26255.

It is an arithmetic number, because the mean of its divisors is an integer number (11657520).

Almost surely, 2^343420320 is an apocalyptic number.

343420320 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 343420320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559560960).

343420320 is an abundant number, since it is smaller than the sum of its proper divisors (775701600).

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

343420320 is a wasteful number, since it uses less digits than its factorization.

343420320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24718 (or 24710 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 343420320 is about 18531.6032765651. The cubic root of 343420320 is about 700.2858152564.

Adding to 343420320 its reverse (23024343), we get a palindrome (366444663).

The spelling of 343420320 in words is "three hundred forty-three million, four hundred twenty thousand, three hundred twenty".