343228200 has 192 divisors, whose sum is σ = 1234206720. Its totient is φ = 77280000.

The previous prime is 343228189. The next prime is 343228201. The reversal of 343228200 is 2822343.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (343228201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 297625 + ... + 298775.

It is an arithmetic number, because the mean of its divisors is an integer number (6428160).

Almost surely, 2^343228200 is an apocalyptic number.

343228200 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 343228200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617103360).

343228200 is an abundant number, since it is smaller than the sum of its proper divisors (890978520).

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

343228200 is a wasteful number, since it uses less digits than its factorization.

343228200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 343228200 is about 18526.4189739949. The cubic root of 343228200 is about 700.1552036810.

The spelling of 343228200 in words is "three hundred forty-three million, two hundred twenty-eight thousand, two hundred".