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34012513 is a prime number
BaseRepresentation
bin1000000110111…
…1110101100001
32101000000101201
42001233311201
532201400023
63213001201
7562046563
oct201576541
971000351
1034012513
1118221117
12b483201
13707b462
144735333
152ebcbad
hex206fd61

34012513 has 2 divisors, whose sum is σ = 34012514. Its totient is φ = 34012512.

The previous prime is 34012499. The next prime is 34012577. The reversal of 34012513 is 31521043.

34012513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 34012224 + 289 = 5832^2 + 17^2 .

It is a cyclic number.

It is not a de Polignac number, because 34012513 - 25 = 34012481 is a prime.

It is not a weakly prime, because it can be changed into another prime (34012313) 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 as a sum of consecutive naturals, namely, 17006256 + 17006257.

It is an arithmetic number, because the mean of its divisors is an integer number (17006257).

Almost surely, 234012513 is an apocalyptic number.

It is an amenable number.

34012513 is a deficient number, since it is larger than the sum of its proper divisors (1).

34012513 is an equidigital number, since it uses as much as digits as its factorization.

34012513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 34012513 is about 5832.0247770393. The cubic root of 34012513 is about 324.0009176675. Note that the first 3 decimals are identical.

Adding to 34012513 its reverse (31521043), we get a palindrome (65533556).

The spelling of 34012513 in words is "thirty-four million, twelve thousand, five hundred thirteen".