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34334242241 = 1337277439587
BaseRepresentation
bin11111111110011110…
…101111010111000001
310021121210221012222112
4133332132233113001
51030304031222431
623434541545105
72323556146415
oct377636572701
9107553835875
1034334242241
111361986a412
1267a2575195
133312313490
141939d26d45
15d5e3c3c2b
hex7fe7af5c1

34334242241 has 32 divisors (see below), whose sum is σ = 38263653120. Its totient is φ = 30603038976.

The previous prime is 34334242193. The next prime is 34334242247. The reversal of 34334242241 is 14224243343.

It is a cyclic number.

It is not a de Polignac number, because 34334242241 - 210 = 34334241217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34334242198 and 34334242207.

It is not an unprimeable number, because it can be changed into a prime (34334242247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58490750 + ... + 58491336.

It is an arithmetic number, because the mean of its divisors is an integer number (1195739160).

Almost surely, 234334242241 is an apocalyptic number.

It is an amenable number.

34334242241 is a deficient number, since it is larger than the sum of its proper divisors (3929410879).

34334242241 is a wasteful number, since it uses less digits than its factorization.

34334242241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353.

The product of its digits is 55296, while the sum is 32.

Adding to 34334242241 its reverse (14224243343), we get a palindrome (48558485584).

It can be divided in two parts, 343342 and 42241, that added together give a palindrome (385583).

The spelling of 34334242241 in words is "thirty-four billion, three hundred thirty-four million, two hundred forty-two thousand, two hundred forty-one".

Divisors: 1 13 37 277 439 481 587 3601 5707 7631 10249 16243 21719 121603 133237 162599 211159 257693 282347 1580839 2113787 3350009 4499311 6016163 9534641 58491043 71380961 78210119 123950333 927952493 2641095557 34334242241