334200144 has 80 divisors (see below), whose sum is σ = 917137728. Its totient is φ = 104503296.

The previous prime is 334200137. The next prime is 334200173. The reversal of 334200144 is 441002433.

334200144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×334200144² = 223379472499241472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 334200144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 380634 + ... + 381510.

Almost surely, 2^334200144 is an apocalyptic number.

334200144 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 334200144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458568864).

334200144 is an abundant number, since it is smaller than the sum of its proper divisors (582937584).

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

334200144 is a wasteful number, since it uses less digits than its factorization.

334200144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1372 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 334200144 is about 18281.1417586539. The cubic root of 334200144 is about 693.9617670860.

Adding to 334200144 its reverse (441002433), we get a palindrome (775202577).

The spelling of 334200144 in words is "three hundred thirty-four million, two hundred thousand, one hundred forty-four".