334201200 has 60 divisors (see below), whose sum is σ = 1070561688. Its totient is φ = 89120000.

The previous prime is 334201187. The next prime is 334201213. The reversal of 334201200 is 2102433.

It is an interprime number because it is at equal distance from previous prime (334201187) and next prime (334201213).

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×334201200² = 223380884162880000, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 334201200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 138051 + ... + 140450.

Almost surely, 2^334201200 is an apocalyptic number.

334201200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

334201200 is an abundant number, since it is smaller than the sum of its proper divisors (736360488).

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

334201200 is a wasteful number, since it uses less digits than its factorization.

334201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278522 (or 278511 counting only the distinct ones).

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

The square root of 334201200 is about 18281.1706408534. The cubic root of 334201200 is about 693.9624980081.

Adding to 334201200 its reverse (2102433), we get a palindrome (336303633).

The spelling of 334201200 in words is "three hundred thirty-four million, two hundred one thousand, two hundred".