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34218436 = 227412727
BaseRepresentation
bin1000001010001…
…0000111000100
32101101110212111
42002202013010
532224442221
63221230404
7563565130
oct202420704
971343774
1034218436
11183518aa
12b562404
1371210c5
14478a3c0
15300dbe1
hex20a21c4

34218436 has 36 divisors (see below), whose sum is σ = 70243264. Its totient is φ = 14287680.

The previous prime is 34218421. The next prime is 34218461. The reversal of 34218436 is 63481243.

It is a junction number, because it is equal to n+sod(n) for n = 34218398 and 34218407.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46705 + ... + 47431.

Almost surely, 234218436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34218436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35121632).

34218436 is an abundant number, since it is smaller than the sum of its proper divisors (36024828).

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

34218436 is a wasteful number, since it uses less digits than its factorization.

34218436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 777 counting only the distinct ones).

The product of its digits is 13824, while the sum is 31.

The square root of 34218436 is about 5849.6526392599. The cubic root of 34218436 is about 324.6534720696.

Adding to 34218436 its reverse (63481243), we get a palindrome (97699679).

The spelling of 34218436 in words is "thirty-four million, two hundred eighteen thousand, four hundred thirty-six".

Divisors: 1 2 4 7 14 28 41 82 164 287 574 727 1148 1454 1681 2908 3362 5089 6724 10178 11767 20356 23534 29807 47068 59614 119228 208649 417298 834596 1222087 2444174 4888348 8554609 17109218 34218436