201344000 has 264 divisors, whose sum is σ = 594596184. Its totient is φ = 67584000.

The previous prime is 201343999. The next prime is 201344009. The reversal of 201344000 is 443102.

It can be written as a sum of positive squares in 4 ways, for example, as 31719424 + 169624576 = 5632^2 + 13024^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201344009) 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, 15487994 + ... + 15488006.

Almost surely, 2^201344000 is an apocalyptic number.

201344000 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 201344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297298092).

201344000 is an abundant number, since it is smaller than the sum of its proper divisors (393252184).

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

201344000 is a wasteful number, since it uses less digits than its factorization.

201344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 201344000 is about 14189.5736370054. The cubic root of 201344000 is about 586.1105841849.

Adding to 201344000 its reverse (443102), we get a palindrome (201787102).

The spelling of 201344000 in words is "two hundred one million, three hundred forty-four thousand".