210034240 has 112 divisors (see below), whose sum is σ = 557509680. Its totient is φ = 74833920.

The previous prime is 210034217. The next prime is 210034243. The reversal of 210034240 is 42430012.

It can be written as a sum of positive squares in 8 ways, for example, as 72863296 + 137170944 = 8536^2 + 11712^2 .

It is a super-2 number, since 2×210034240² = 88228763944755200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210034243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119770 + ... + 121510.

It is an arithmetic number, because the mean of its divisors is an integer number (4977765).

Almost surely, 2^210034240 is an apocalyptic number.

210034240 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 210034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278754840).

210034240 is an abundant number, since it is smaller than the sum of its proper divisors (347475440).

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

210034240 is a wasteful number, since it uses less digits than its factorization.

210034240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800 (or 1790 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 210034240 is about 14492.5580902752. The cubic root of 210034240 is about 594.4244982648.

Adding to 210034240 its reverse (42430012), we get a palindrome (252464252).

The spelling of 210034240 in words is "two hundred ten million, thirty-four thousand, two hundred forty".