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34591507345 = 57394771253
BaseRepresentation
bin100000001101110100…
…001000001110010001
310022021202000122100201
4200031310020032101
51031320411213340
623520252015201
72333131650433
oct401564101621
9108252018321
1034591507345
11137410054aa
126854761501
1333536ca955
141962174653
15d76c9079a
hex80dd08391

34591507345 has 8 divisors (see below), whose sum is σ = 42078436776. Its totient is φ = 27294120576.

The previous prime is 34591507343. The next prime is 34591507361. The reversal of 34591507345 is 54370519543.

It can be written as a sum of positive squares in 4 ways, for example, as 3673208449 + 30918298896 = 60607^2 + 175836^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34591507345 - 21 = 34591507343 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34591507295 and 34591507304.

It is not an unprimeable number, because it can be changed into a prime (34591507343) 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 7 ways as a sum of consecutive naturals, for example, 47385262 + ... + 47385991.

It is an arithmetic number, because the mean of its divisors is an integer number (5259804597).

Almost surely, 234591507345 is an apocalyptic number.

It is an amenable number.

34591507345 is a deficient number, since it is larger than the sum of its proper divisors (7486929431).

34591507345 is an equidigital number, since it uses as much as digits as its factorization.

34591507345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94771331.

The product of its (nonzero) digits is 1134000, while the sum is 46.

The spelling of 34591507345 in words is "thirty-four billion, five hundred ninety-one million, five hundred seven thousand, three hundred forty-five".

Divisors: 1 5 73 365 94771253 473856265 6918301469 34591507345