334212000 has 96 divisors (see below), whose sum is σ = 1094917824. Its totient is φ = 89120000.

The previous prime is 334211939. The next prime is 334212019. The reversal of 334212000 is 212433.

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

It is a super-2 number, since 2×334212000² = 223395321888000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1926 + ... + 25925.

It is an arithmetic number, because the mean of its divisors is an integer number (11405394).

Almost surely, 2^334212000 is an apocalyptic number.

334212000 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 334212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547458912).

334212000 is an abundant number, since it is smaller than the sum of its proper divisors (760705824).

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

334212000 is a wasteful number, since it uses less digits than its factorization.

334212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27879 (or 27861 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 334212000 is about 18281.4660243647. The cubic root of 334212000 is about 693.9699732598.

Adding to 334212000 its reverse (212433), we get a palindrome (334424433).

The spelling of 334212000 in words is "three hundred thirty-four million, two hundred twelve thousand".