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34132032017 is a prime number
BaseRepresentation
bin11111110010011011…
…010111101000010001
310021002201102212200222
4133302123113220101
51024400300011032
623402515522425
72315552325266
oct376233275021
9107081385628
1034132032017
1113525707926
1267468b9415
1332ac464165
14191b12b26d
15d4b77ea12
hex7f26d7a11

34132032017 has 2 divisors, whose sum is σ = 34132032018. Its totient is φ = 34132032016.

The previous prime is 34132032001. The next prime is 34132032029. The reversal of 34132032017 is 71023023143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19606720576 + 14525311441 = 140024^2 + 120521^2 .

It is a cyclic number.

It is not a de Polignac number, because 34132032017 - 24 = 34132032001 is a prime.

It is not a weakly prime, because it can be changed into another prime (34132032097) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17066016008 + 17066016009.

It is an arithmetic number, because the mean of its divisors is an integer number (17066016009).

Almost surely, 234132032017 is an apocalyptic number.

It is an amenable number.

34132032017 is a deficient number, since it is larger than the sum of its proper divisors (1).

34132032017 is an equidigital number, since it uses as much as digits as its factorization.

34132032017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3024, while the sum is 26.

The spelling of 34132032017 in words is "thirty-four billion, one hundred thirty-two million, thirty-two thousand, seventeen".