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34012249 is a prime number
BaseRepresentation
bin1000000110111…
…1110001011001
32101000000000221
42001233301121
532201342444
63213000041
7562046035
oct201576131
971000027
1034012249
11182209a7
12b483021
13707b2bb
1447351c5
152ebca84
hex206fc59

34012249 has 2 divisors, whose sum is σ = 34012250. Its totient is φ = 34012248.

The previous prime is 34012241. The next prime is 34012271. The reversal of 34012249 is 94221043.

34012249 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 + 25 = 5832^2 + 5^2 .

It is a cyclic number.

It is not a de Polignac number, because 34012249 - 23 = 34012241 is a prime.

It is not a weakly prime, because it can be changed into another prime (34012241) 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, 17006124 + 17006125.

It is an arithmetic number, because the mean of its divisors is an integer number (17006125).

Almost surely, 234012249 is an apocalyptic number.

It is an amenable number.

34012249 is a deficient number, since it is larger than the sum of its proper divisors (1).

34012249 is an equidigital number, since it uses as much as digits as its factorization.

34012249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 34012249 is about 5832.0021433467. The cubic root of 34012249 is about 324.0000793832. Note that the first 4 decimals are identical.

Subtracting from 34012249 its sum of digits (25), we obtain a 6-th power (34012224 = 186).

The spelling of 34012249 in words is "thirty-four million, twelve thousand, two hundred forty-nine".