343419264 has 192 divisors, whose sum is σ = 1047380880. Its totient is φ = 111974400.

The previous prime is 343419259. The next prime is 343419269. The reversal of 343419264 is 462914343.

It is a happy number.

343419264 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 (343419259) and next prime (343419269).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343419269) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1897254 + ... + 1897434.

Almost surely, 2^343419264 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 343419264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523690440).

343419264 is an abundant number, since it is smaller than the sum of its proper divisors (703961616).

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

343419264 is an equidigital number, since it uses as much as digits as its factorization.

343419264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 247 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 343419264 is about 18531.5747846749. The cubic root of 343419264 is about 700.2850974746.

The spelling of 343419264 in words is "three hundred forty-three million, four hundred nineteen thousand, two hundred sixty-four".