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34048457 is a prime number
BaseRepresentation
bin1000000111100…
…0100111001001
32101001211200222
42001320213021
532204022312
63213435425
7562256432
oct201704711
971054628
1034048457
1118246123
12b49bb75
137091921
144744489
152ec8672
hex20789c9

34048457 has 2 divisors, whose sum is σ = 34048458. Its totient is φ = 34048456.

The previous prime is 34048429. The next prime is 34048459. The reversal of 34048457 is 75484043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29365561 + 4682896 = 5419^2 + 2164^2 .

It is a cyclic number.

It is not a de Polignac number, because 34048457 - 26 = 34048393 is a prime.

Together with 34048459, 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 (34048459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17024228 + 17024229.

It is an arithmetic number, because the mean of its divisors is an integer number (17024229).

Almost surely, 234048457 is an apocalyptic number.

It is an amenable number.

34048457 is a deficient number, since it is larger than the sum of its proper divisors (1).

34048457 is an equidigital number, since it uses as much as digits as its factorization.

34048457 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 53760, while the sum is 35.

The square root of 34048457 is about 5835.1055688822. The cubic root of 34048457 is about 324.1150108639.

The spelling of 34048457 in words is "thirty-four million, forty-eight thousand, four hundred fifty-seven".