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213424434 = 23241289193
BaseRepresentation
bin11001011100010…
…01100100110010
3112212121002021200
430232021210302
5414114040214
633102232030
75201035446
oct1456114462
9485532250
10213424434
11aa521a33
125b585616
13352a7762
14204b8826
1513b0bd09
hexcb89932

213424434 has 24 divisors (see below), whose sum is σ = 473699772. Its totient is φ = 69406080.

The previous prime is 213424411. The next prime is 213424439. The reversal of 213424434 is 434424312.

It is a happy number.

213424434 is a `hidden beast` number, since 213 + 4 + 2 + 443 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 207446409 + 5978025 = 14403^2 + 2445^2 .

It is a junction number, because it is equal to n+sod(n) for n = 213424398 and 213424407.

It is not an unprimeable number, because it can be changed into a prime (213424439) 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 11 ways as a sum of consecutive naturals, for example, 143859 + ... + 145334.

Almost surely, 2213424434 is an apocalyptic number.

213424434 is an abundant number, since it is smaller than the sum of its proper divisors (260275338).

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

213424434 is a wasteful number, since it uses less digits than its factorization.

213424434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289242 (or 289239 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 213424434 is about 14609.0531520698. The cubic root of 213424434 is about 597.6056747202.

Adding to 213424434 its reverse (434424312), we get a palindrome (647848746).

The spelling of 213424434 in words is "two hundred thirteen million, four hundred twenty-four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 41 82 123 246 369 738 289193 578386 867579 1735158 2602737 5205474 11856913 23713826 35570739 71141478 106712217 213424434