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34040546237 is a prime number
BaseRepresentation
bin11111101100111110…
…011000001110111101
310020212100021220210202
4133230332120032331
51024203334434422
623345451013245
72313361604015
oct375476301675
9106770256722
1034040546237
1113489001245
12672013a225
133296511b69
14190cd14c45
15d4370cb92
hex7ecf983bd

34040546237 has 2 divisors, whose sum is σ = 34040546238. Its totient is φ = 34040546236.

The previous prime is 34040546161. The next prime is 34040546257. The reversal of 34040546237 is 73264504043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19485088921 + 14555457316 = 139589^2 + 120646^2 .

It is a cyclic number.

It is not a de Polignac number, because 34040546237 - 212 = 34040542141 is a prime.

It is a super-2 number, since 2×340405462372 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34040546237.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34040546257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17020273118 + 17020273119.

It is an arithmetic number, because the mean of its divisors is an integer number (17020273119).

Almost surely, 234040546237 is an apocalyptic number.

It is an amenable number.

34040546237 is a deficient number, since it is larger than the sum of its proper divisors (1).

34040546237 is an equidigital number, since it uses as much as digits as its factorization.

34040546237 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 241920, while the sum is 38.

The spelling of 34040546237 in words is "thirty-four billion, forty million, five hundred forty-six thousand, two hundred thirty-seven".