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212343606 = 2356612
BaseRepresentation
bin11001010100000…
…01101100110110
3112210120011200000
430222001230312
5413324443411
633023132130
75155614366
oct1452015466
9483504600
10212343606
11a9953992
125b144046
1334cb9807
14202b69a6
1513996956
hexca81b36

212343606 has 36 divisors (see below), whose sum is σ = 477840636. Its totient is φ = 70674120.

The previous prime is 212343577. The next prime is 212343643. The reversal of 212343606 is 606343212.

212343606 is a `hidden beast` number, since 2 + 12 + 3 + 43 + 606 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 212343606.

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 17 ways as a sum of consecutive naturals, for example, 320916 + ... + 321576.

It is an arithmetic number, because the mean of its divisors is an integer number (13273351).

Almost surely, 2212343606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212343606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238920318).

212343606 is an abundant number, since it is smaller than the sum of its proper divisors (265497030).

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

212343606 is an frugal number, since it uses more digits than its factorization.

212343606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 212343606 is about 14572.0144798171. The cubic root of 212343606 is about 596.5951650463.

Adding to 212343606 its reverse (606343212), we get a palindrome (818686818).

The spelling of 212343606 in words is "two hundred twelve million, three hundred forty-three thousand, six hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 661 1322 1983 3966 5949 11898 17847 35694 53541 107082 160623 321246 436921 873842 1310763 2621526 3932289 7864578 11796867 23593734 35390601 70781202 106171803 212343606