343214564 has 144 divisors (see below), whose sum is σ = 820471680. Its totient is φ = 122496000.

The previous prime is 343214563. The next prime is 343214569. The reversal of 343214564 is 465412343.

It is a self number, because there is not a number n which added to its sum of digits gives 343214564.

It is not an unprimeable number, because it can be changed into a prime (343214563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3398114 + ... + 3398214.

It is an arithmetic number, because the mean of its divisors is an integer number (5697720).

Almost surely, 2^343214564 is an apocalyptic number.

343214564 is a gapful number since it is divisible by the number (34) 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 343214564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410235840).

343214564 is an abundant number, since it is smaller than the sum of its proper divisors (477257116).

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

343214564 is a wasteful number, since it uses less digits than its factorization.

343214564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 197 counting only the distinct ones).

The product of its digits is 34560, while the sum is 32.

The square root of 343214564 is about 18526.0509553439. The cubic root of 343214564 is about 700.1459314798.

The spelling of 343214564 in words is "three hundred forty-three million, two hundred fourteen thousand, five hundred sixty-four".