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34000013 = 293116041
BaseRepresentation
bin1000000110110…
…0110010001101
32100222101020202
42001230302031
532201000023
63212423245
7561665255
oct201546215
970871222
1034000013
1118212793
12b477b25
137075868
144730965
152eb9128
hex206cc8d

34000013 has 4 divisors (see below), whose sum is σ = 34116348. Its totient is φ = 33883680.

The previous prime is 34000009. The next prime is 34000019. The reversal of 34000013 is 31000043.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 32924644 + 1075369 = 5738^2 + 1037^2 .

It is a cyclic number.

It is not a de Polignac number, because 34000013 - 22 = 34000009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33999958 and 34000003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34000019) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 57728 + ... + 58313.

It is an arithmetic number, because the mean of its divisors is an integer number (8529087).

Almost surely, 234000013 is an apocalyptic number.

It is an amenable number.

34000013 is a deficient number, since it is larger than the sum of its proper divisors (116335).

34000013 is a wasteful number, since it uses less digits than its factorization.

34000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116334.

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 34000013 is about 5830.9530095860. The cubic root of 34000013 is about 323.9612214169.

Adding to 34000013 its reverse (31000043), we get a palindrome (65000056).

The spelling of 34000013 in words is "thirty-four million, thirteen", and thus it is an aban number.

Divisors: 1 293 116041 34000013