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10034579 is a prime number
BaseRepresentation
bin100110010001…
…110110010011
3200212210212002
4212101312103
510032101304
6555024215
7151202222
oct46216623
920783762
1010034579
115734145
12343b06b
132104529
141492cb9
15d3331e
hex991d93

10034579 has 2 divisors, whose sum is σ = 10034580. Its totient is φ = 10034578.

The previous prime is 10034537. The next prime is 10034581. The reversal of 10034579 is 97543001.

10034579 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10034579 - 212 = 10030483 is a prime.

Together with 10034581, it forms a pair of twin primes.

It is a Chen prime.

It is the 47-th primeval number, because it sets a new record (4517) in the number of distinct primes that is it possible to write using its digits.

It is not a weakly prime, because it can be changed into another prime (10031579) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5017289 + 5017290.

It is an arithmetic number, because the mean of its divisors is an integer number (5017290).

Almost surely, 210034579 is an apocalyptic number.

10034579 is a deficient number, since it is larger than the sum of its proper divisors (1).

10034579 is an equidigital number, since it uses as much as digits as its factorization.

10034579 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 10034579 is about 3167.7403618352. The cubic root of 10034579 is about 215.6915106453.

The spelling of 10034579 in words is "ten million, thirty-four thousand, five hundred seventy-nine".