334201400 has 96 divisors (see below), whose sum is σ = 842758560. Its totient is φ = 122519040.

The previous prime is 334201391. The next prime is 334201433. The reversal of 334201400 is 4102433.

It is a super-2 number, since 2×334201400² = 223381151523920000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 449429 + ... + 450171.

It is an arithmetic number, because the mean of its divisors is an integer number (8778735).

Almost surely, 2^334201400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334201400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421379280).

334201400 is an abundant number, since it is smaller than the sum of its proper divisors (508557160).

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

334201400 is a wasteful number, since it uses less digits than its factorization.

334201400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 334201400 is about 18281.1761109618. The cubic root of 334201400 is about 693.9626364402.

Adding to 334201400 its reverse (4102433), we get a palindrome (338303833).

The spelling of 334201400 in words is "three hundred thirty-four million, two hundred one thousand, four hundred".