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34372409 is a prime number
BaseRepresentation
bin1000001100011…
…1101100111001
32101200022002012
42003013230321
532244404114
63224415305
7565106051
oct203075471
971608065
1034372409
1118447555
12b617535
137176206
1447ca561
15303e63e
hex20c7b39

34372409 has 2 divisors, whose sum is σ = 34372410. Its totient is φ = 34372408.

The previous prime is 34372399. The next prime is 34372411. The reversal of 34372409 is 90427343.

34372409 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 can be written as a sum of positive squares in only one way, i.e., 32205625 + 2166784 = 5675^2 + 1472^2 .

It is an emirp because it is prime and its reverse (90427343) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34372409 - 28 = 34372153 is a prime.

Together with 34372411, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (34372489) 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, 17186204 + 17186205.

It is an arithmetic number, because the mean of its divisors is an integer number (17186205).

Almost surely, 234372409 is an apocalyptic number.

It is an amenable number.

34372409 is a deficient number, since it is larger than the sum of its proper divisors (1).

34372409 is an equidigital number, since it uses as much as digits as its factorization.

34372409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144, while the sum is 32.

The square root of 34372409 is about 5862.7987343930. The cubic root of 34372409 is about 325.1396922168.

The spelling of 34372409 in words is "thirty-four million, three hundred seventy-two thousand, four hundred nine".