200034000 has 120 divisors (see below), whose sum is σ = 698714952. Its totient is φ = 53337600.

The previous prime is 200033993. The next prime is 200034001. The reversal of 200034000 is 430002.

200034000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 58614336 + 141419664 = 7656^2 + 11892^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200034001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12444 + ... + 23556.

Almost surely, 2^200034000 is an apocalyptic number.

200034000 is a gapful number since it is divisible by the number (20) 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 200034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349357476).

200034000 is an abundant number, since it is smaller than the sum of its proper divisors (498680952).

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

200034000 is a wasteful number, since it uses less digits than its factorization.

200034000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11142 (or 11123 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 200034000 is about 14143.3376541748. The cubic root of 200034000 is about 584.8366846326.

Adding to 200034000 its reverse (430002), we get a palindrome (200464002).

The spelling of 200034000 in words is "two hundred million, thirty-four thousand".