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10034309 is a prime number
BaseRepresentation
bin100110010001…
…110010000101
3200212210111002
4212101302011
510032044214
6555023045
7151201355
oct46216205
920783432
1010034309
115733a1a
12343aa85
13210437c
141492b65
15d331de
hex991c85

10034309 has 2 divisors, whose sum is σ = 10034310. Its totient is φ = 10034308.

The previous prime is 10034303. The next prime is 10034329. The reversal of 10034309 is 90343001.

10034309 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (10034329) can be obtained adding 10034309 to its sum of digits (20).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8352100 + 1682209 = 2890^2 + 1297^2 .

It is a cyclic number.

It is not a de Polignac number, because 10034309 - 24 = 10034293 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10034303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5017154 + 5017155.

It is an arithmetic number, because the mean of its divisors is an integer number (5017155).

Almost surely, 210034309 is an apocalyptic number.

It is an amenable number.

10034309 is a deficient number, since it is larger than the sum of its proper divisors (1).

10034309 is an equidigital number, since it uses as much as digits as its factorization.

10034309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 10034309 is about 3167.6977444194. The cubic root of 10034309 is about 215.6895760937.

The spelling of 10034309 in words is "ten million, thirty-four thousand, three hundred nine".