211434320 has 20 divisors (see below), whose sum is σ = 491584980. Its totient is φ = 84573696.

The previous prime is 211434319. The next prime is 211434407. The reversal of 211434320 is 23434112.

It can be written as a sum of positive squares in 2 ways, for example, as 164044864 + 47389456 = 12808^2 + 6884^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 211434292 and 211434301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1321385 + ... + 1321544.

It is an arithmetic number, because the mean of its divisors is an integer number (24579249).

Almost surely, 2^211434320 is an apocalyptic number.

211434320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211434320 is an abundant number, since it is smaller than the sum of its proper divisors (280150660).

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

211434320 is a wasteful number, since it uses less digits than its factorization.

211434320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2642942 (or 2642936 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 211434320 is about 14540.7812719950. The cubic root of 211434320 is about 595.7423777353.

Adding to 211434320 its reverse (23434112), we get a palindrome (234868432).

It can be divided in two parts, 21 and 1434320, that added together give a palindrome (1434341).

The spelling of 211434320 in words is "two hundred eleven million, four hundred thirty-four thousand, three hundred twenty".