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34005011104 = 253133395069
BaseRepresentation
bin11111101010110110…
…110100101010100000
310020202212102112202201
4133222312310222200
51024120240323404
623342141222544
72312450553031
oct375266645240
9106685375681
1034005011104
111346aa40169
126710261a54
13328c04c65c
141908304a88
15d4053dca4
hex7eadb4aa0

34005011104 has 24 divisors (see below), whose sum is σ = 67161274740. Its totient is φ = 16948179456.

The previous prime is 34005011101. The next prime is 34005011203. The reversal of 34005011104 is 40111050043.

It can be written as a sum of positive squares in 2 ways, for example, as 32669839504 + 1335171600 = 180748^2 + 36540^2 .

It is not an unprimeable number, because it can be changed into a prime (34005011101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1687519 + ... + 1707550.

Almost surely, 234005011104 is an apocalyptic number.

It is an amenable number.

34005011104 is a deficient number, since it is larger than the sum of its proper divisors (33156263636).

34005011104 is a wasteful number, since it uses less digits than its factorization.

34005011104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3395392 (or 3395384 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 34005011104 its reverse (40111050043), we get a palindrome (74116061147).

The spelling of 34005011104 in words is "thirty-four billion, five million, eleven thousand, one hundred four".

Divisors: 1 2 4 8 16 32 313 626 1252 2504 5008 10016 3395069 6790138 13580276 27160552 54321104 108642208 1062656597 2125313194 4250626388 8501252776 17002505552 34005011104