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34513069 is a prime number
BaseRepresentation
bin1000001110101…
…0000010101101
32101221110000211
42003222002231
532313404234
63231422421
7566233123
oct203520255
971843024
1034513069
11185331a8
12b684a11
1371c5246
144825913
15306b164
hex20ea0ad

34513069 has 2 divisors, whose sum is σ = 34513070. Its totient is φ = 34513068.

The previous prime is 34513067. The next prime is 34513091. The reversal of 34513069 is 96031543.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 34456900 + 56169 = 5870^2 + 237^2 .

It is a cyclic number.

It is not a de Polignac number, because 34513069 - 21 = 34513067 is a prime.

It is a super-3 number, since 3×345130693 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 34513067, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p2118766 and since 34513069 and 2118766 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34513069.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34513067) 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 as a sum of consecutive naturals, namely, 17256534 + 17256535.

It is an arithmetic number, because the mean of its divisors is an integer number (17256535).

Almost surely, 234513069 is an apocalyptic number.

It is an amenable number.

34513069 is a deficient number, since it is larger than the sum of its proper divisors (1).

34513069 is an equidigital number, since it uses as much as digits as its factorization.

34513069 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9720, while the sum is 31.

The square root of 34513069 is about 5874.7824640577. The cubic root of 34513069 is about 325.5826046855.

The spelling of 34513069 in words is "thirty-four million, five hundred thirteen thousand, sixty-nine".