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3406737070337 = 41128964461713
BaseRepresentation
bin110001100100110001010…
…110100101100100000001
3110001200101100211021112112
4301210301112211210001
5421303444142222322
611125011114305105
7501062056211426
oct61446126454401
913050340737475
103406737070337
1110a38752987a7
124702b9428195
131b933bb555a3
14bac5bb31d4d
155d93c81b5e2
hex319315a5901

3406737070337 has 8 divisors (see below), whose sum is σ = 3492535664520. Its totient is φ = 3321067402240.

The previous prime is 3406737070313. The next prime is 3406737070351. The reversal of 3406737070337 is 7330707376043.

It can be written as a sum of positive squares in 4 ways, for example, as 621055901041 + 2785681169296 = 788071^2 + 1669036^2 .

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 3406737070337 - 212 = 3406737066241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3406797070337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32178008 + ... + 32283705.

It is an arithmetic number, because the mean of its divisors is an integer number (436566958065).

Almost surely, 23406737070337 is an apocalyptic number.

It is an amenable number.

3406737070337 is a deficient number, since it is larger than the sum of its proper divisors (85798594183).

3406737070337 is a wasteful number, since it uses less digits than its factorization.

3406737070337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64463043.

The product of its (nonzero) digits is 4667544, while the sum is 50.

The spelling of 3406737070337 in words is "three trillion, four hundred six billion, seven hundred thirty-seven million, seventy thousand, three hundred thirty-seven".

Divisors: 1 41 1289 52849 64461713 2642930233 83091148057 3406737070337