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34242224313 = 31117413914747
BaseRepresentation
bin11111111000111111…
…101110000010111001
310021101101210020010010
4133320333232002321
51030112002134223
623421453412133
72321361050523
oct377077560271
9107341706103
1034242224313
111358192aa40
12677779a049
1332c9235bbb
14192ba12a13
15d56299393
hex7f8fee0b9

34242224313 has 32 divisors (see below), whose sum is σ = 52753006080. Its totient is φ = 19526063360.

The previous prime is 34242224293. The next prime is 34242224363. The reversal of 34242224313 is 31342224243.

It is a cyclic number.

It is not a de Polignac number, because 34242224313 - 213 = 34242216121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34242224363) 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 in 31 ways as a sum of consecutive naturals, for example, 2314606 + ... + 2329352.

It is an arithmetic number, because the mean of its divisors is an integer number (1648531440).

Almost surely, 234242224313 is an apocalyptic number.

34242224313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

34242224313 is a deficient number, since it is larger than the sum of its proper divisors (18510781767).

34242224313 is a wasteful number, since it uses less digits than its factorization.

34242224313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18917.

The product of its digits is 27648, while the sum is 30.

Adding to 34242224313 its reverse (31342224243), we get a palindrome (65584448556).

The spelling of 34242224313 in words is "thirty-four billion, two hundred forty-two million, two hundred twenty-four thousand, three hundred thirteen".

Divisors: 1 3 11 17 33 51 187 561 4139 12417 14747 44241 45529 70363 136587 162217 211089 250699 486651 752097 773993 2321979 2757689 8273067 61037833 183113499 671416163 1037643161 2014248489 3112929483 11414074771 34242224313