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34824193 is a prime number
BaseRepresentation
bin1000010011011…
…0000000000001
32102112020210221
42010312000001
532403333233
63242223041
7602000155
oct204660001
972466727
1034824193
1118725a28
12b7b4a81
1372a3a41
1448a7065
1530cd42d
hex2136001

34824193 has 2 divisors, whose sum is σ = 34824194. Its totient is φ = 34824192.

The previous prime is 34824173. The next prime is 34824241. The reversal of 34824193 is 39142843.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29030544 + 5793649 = 5388^2 + 2407^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34824193 is a prime.

It is not a weakly prime, because it can be changed into another prime (34824103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17412096 + 17412097.

It is an arithmetic number, because the mean of its divisors is an integer number (17412097).

It is a Proth number, since it is equal to 4251 ⋅ 213 + 1 and 4251 < 213.

Almost surely, 234824193 is an apocalyptic number.

It is an amenable number.

34824193 is a deficient number, since it is larger than the sum of its proper divisors (1).

34824193 is an equidigital number, since it uses as much as digits as its factorization.

34824193 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20736, while the sum is 34.

The square root of 34824193 is about 5901.2026740318. The cubic root of 34824193 is about 326.5580196557.

The spelling of 34824193 in words is "thirty-four million, eight hundred twenty-four thousand, one hundred ninety-three".