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34042961 is a prime number
BaseRepresentation
bin1000000111011…
…1010001010001
32101001120011102
42001313101101
532203333321
63213354145
7562234421
oct201672121
971046142
1034042961
1118241a87
12b498955
13708c284
144742481
152ec6c0b
hex2077451

34042961 has 2 divisors, whose sum is σ = 34042962. Its totient is φ = 34042960.

The previous prime is 34042949. The next prime is 34042969. The reversal of 34042961 is 16924043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30913600 + 3129361 = 5560^2 + 1769^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34042961 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (34042969) 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, 17021480 + 17021481.

It is an arithmetic number, because the mean of its divisors is an integer number (17021481).

Almost surely, 234042961 is an apocalyptic number.

It is an amenable number.

34042961 is a deficient number, since it is larger than the sum of its proper divisors (1).

34042961 is an equidigital number, since it uses as much as digits as its factorization.

34042961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 34042961 is about 5834.6346072398. The cubic root of 34042961 is about 324.0975707006.

The spelling of 34042961 in words is "thirty-four million, forty-two thousand, nine hundred sixty-one".