201434688 has 420 divisors, whose sum is σ = 760297692. Its totient is φ = 52254720.

The previous prime is 201434659. The next prime is 201434689. The reversal of 201434688 is 886434102.

It can be written as a sum of positive squares in 2 ways, for example, as 16257024 + 185177664 = 4032^2 + 13608^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201434689) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3302178 + ... + 3302238.

Almost surely, 2^201434688 is an apocalyptic number.

201434688 is a gapful number since it is divisible by the number (28) 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 201434688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380148846).

201434688 is an abundant number, since it is smaller than the sum of its proper divisors (558863004).

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

201434688 is a wasteful number, since it uses less digits than its factorization.

201434688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 201434688 is about 14192.7688630514. The cubic root of 201434688 is about 586.1985682956.

The spelling of 201434688 in words is "two hundred one million, four hundred thirty-four thousand, six hundred eighty-eight".