201049344 has 288 divisors, whose sum is σ = 662256000. Its totient is φ = 59867136.

The previous prime is 201049337. The next prime is 201049349. The reversal of 201049344 is 443940102.

201049344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201049349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3407587 + ... + 3407645.

It is an arithmetic number, because the mean of its divisors is an integer number (2299500).

Almost surely, 2^201049344 is an apocalyptic number.

201049344 is a gapful number since it is divisible by the number (24) 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 201049344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331128000).

201049344 is an abundant number, since it is smaller than the sum of its proper divisors (461206656).

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

201049344 is a wasteful number, since it uses less digits than its factorization.

201049344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 201049344 is about 14179.1870006711. The cubic root of 201049344 is about 585.8245309377.

Adding to 201049344 its reverse (443940102), we get a palindrome (644989446).

The spelling of 201049344 in words is "two hundred one million, forty-nine thousand, three hundred forty-four".