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34393312109 = 1317891478837
BaseRepresentation
bin100000000010000000…
…000100101101101101
310021202221002021121102
4200002000010231231
51030414141441414
623444452012445
72325204220652
oct400200045555
9107687067542
1034393312109
111364a145492
1267ba301125
133321625c70
141943b01c29
15d64690ede
hex802004b6d

34393312109 has 8 divisors (see below), whose sum is σ = 37059680280. Its totient is φ = 31729905216.

The previous prime is 34393312103. The next prime is 34393312147. The reversal of 34393312109 is 90121339343.

It can be written as a sum of positive squares in 4 ways, for example, as 17901102025 + 16492210084 = 133795^2 + 128422^2 .

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 34393312109 - 224 = 34376534893 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34393312103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 716162 + ... + 762675.

It is an arithmetic number, because the mean of its divisors is an integer number (4632460035).

Almost surely, 234393312109 is an apocalyptic number.

It is an amenable number.

34393312109 is a deficient number, since it is larger than the sum of its proper divisors (2666368171).

34393312109 is a wasteful number, since it uses less digits than its factorization.

34393312109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480639.

The product of its (nonzero) digits is 52488, while the sum is 38.

The spelling of 34393312109 in words is "thirty-four billion, three hundred ninety-three million, three hundred twelve thousand, one hundred nine".

Divisors: 1 13 1789 23257 1478837 19224881 2645639393 34393312109