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34332257 is a prime number
BaseRepresentation
bin1000001011110…
…1111001100001
32101121021000002
42002331321201
532242113012
63223505345
7564551021
oct202757141
971537002
1034332257
111841a373
12b5b8255
137160b5b
1447b9a81
1530327c2
hex20bde61

34332257 has 2 divisors, whose sum is σ = 34332258. Its totient is φ = 34332256.

The previous prime is 34332253. The next prime is 34332301. The reversal of 34332257 is 75223343.

34332257 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., 22505536 + 11826721 = 4744^2 + 3439^2 .

It is a cyclic number.

It is not a de Polignac number, because 34332257 - 22 = 34332253 is a prime.

It is not a weakly prime, because it can be changed into another prime (34332253) 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, 17166128 + 17166129.

It is an arithmetic number, because the mean of its divisors is an integer number (17166129).

Almost surely, 234332257 is an apocalyptic number.

It is an amenable number.

34332257 is a deficient number, since it is larger than the sum of its proper divisors (1).

34332257 is an equidigital number, since it uses as much as digits as its factorization.

34332257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15120, while the sum is 29.

The square root of 34332257 is about 5859.3734306665. The cubic root of 34332257 is about 325.0130393191.

The spelling of 34332257 in words is "thirty-four million, three hundred thirty-two thousand, two hundred fifty-seven".