213433344 has 66 divisors (see below), whose sum is σ = 616310760. Its totient is φ = 71141376.

The previous prime is 213433291. The next prime is 213433361. The reversal of 213433344 is 443334312.

It is a super-3 number, since 3×213433344³ (a number of 26 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 2364 + ... + 20795.

Almost surely, 2^213433344 is an apocalyptic number.

213433344 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 213433344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308155380).

213433344 is an abundant number, since it is smaller than the sum of its proper divisors (402877416).

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

213433344 is a wasteful number, since it uses less digits than its factorization.

213433344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23185 (or 23164 counting only the distinct ones).

The product of its digits is 10368, while the sum is 27.

The square root of 213433344 is about 14609.3580967817. The cubic root of 213433344 is about 597.6139908446.

Adding to 213433344 its reverse (443334312), we get a palindrome (656767656).

The spelling of 213433344 in words is "two hundred thirteen million, four hundred thirty-three thousand, three hundred forty-four".