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34412313675 = 3521559294311
BaseRepresentation
bin100000000011001000…
…100011110001001011
310021211020211122212010
4200003020203301023
51030434023014200
623450411151003
72325524561055
oct400310436113
9107736748763
1034412313675
1113659943663
126804745463
133325549aac
14194644a8d5
15d66196150
hex803223c4b

34412313675 has 24 divisors (see below), whose sum is σ = 56931713280. Its totient is φ = 18341399200.

The previous prime is 34412313671. The next prime is 34412313697. The reversal of 34412313675 is 57631321443.

It is not a de Polignac number, because 34412313675 - 22 = 34412313671 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34412313671) 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 in 23 ways as a sum of consecutive naturals, for example, 30231 + ... + 264080.

It is an arithmetic number, because the mean of its divisors is an integer number (2372154720).

Almost surely, 234412313675 is an apocalyptic number.

34412313675 is a deficient number, since it is larger than the sum of its proper divisors (22519399605).

34412313675 is a wasteful number, since it uses less digits than its factorization.

34412313675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295883 (or 295878 counting only the distinct ones).

The product of its digits is 181440, while the sum is 39.

The spelling of 34412313675 in words is "thirty-four billion, four hundred twelve million, three hundred thirteen thousand, six hundred seventy-five".

Divisors: 1 3 5 15 25 75 1559 4677 7795 23385 38975 116925 294311 882933 1471555 4414665 7357775 22073325 458830849 1376492547 2294154245 6882462735 11470771225 34412313675