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213324340 = 22597109961
BaseRepresentation
bin11001011011100…
…01001000110100
3112212101222222111
430231301020310
5414102334330
633100140404
75200140565
oct1455611064
9485358874
10213324340
11aa463809
125b537704
1335271028
142049016c
1513adc32a
hexcb71234

213324340 has 24 divisors (see below), whose sum is σ = 452603592. Its totient is φ = 84449280.

The previous prime is 213324329. The next prime is 213324341. The reversal of 213324340 is 43423312.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 73753744 + 139570596 = 8588^2 + 11814^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213324341) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 53041 + ... + 56920.

It is an arithmetic number, because the mean of its divisors is an integer number (18858483).

Almost surely, 2213324340 is an apocalyptic number.

213324340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213324340 is an abundant number, since it is smaller than the sum of its proper divisors (239279252).

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

213324340 is a wasteful number, since it uses less digits than its factorization.

213324340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110067 (or 110065 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 213324340 is about 14605.6269978389. The cubic root of 213324340 is about 597.5122363466.

Adding to 213324340 its reverse (43423312), we get a palindrome (256747652).

The spelling of 213324340 in words is "two hundred thirteen million, three hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 97 194 388 485 970 1940 109961 219922 439844 549805 1099610 2199220 10666217 21332434 42664868 53331085 106662170 213324340