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34004045525 = 523673706163
BaseRepresentation
bin11111101010110011…
…001000111011010101
310020202210121111020112
4133222303020323111
51024120013424100
623342104412405
72312436421652
oct375263107325
9106683544215
1034004045525
111346a44076a
12670ba77105
13328baa1cc8
141908132c29
15d403ecb35
hex7eacc8ed5

34004045525 has 12 divisors (see below), whose sum is σ = 42279918912. Its totient is φ = 27129105840.

The previous prime is 34004045501. The next prime is 34004045527. The reversal of 34004045525 is 52554040043.

It is not a de Polignac number, because 34004045525 - 26 = 34004045461 is a prime.

It is a super-3 number, since 3×340040455253 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34004045491 and 34004045500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34004045527) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1843907 + ... + 1862256.

It is an arithmetic number, because the mean of its divisors is an integer number (3523326576).

Almost surely, 234004045525 is an apocalyptic number.

It is an amenable number.

34004045525 is a deficient number, since it is larger than the sum of its proper divisors (8275873387).

34004045525 is a wasteful number, since it uses less digits than its factorization.

34004045525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3706540 (or 3706535 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 32.

Adding to 34004045525 its reverse (52554040043), we get a palindrome (86558085568).

The spelling of 34004045525 in words is "thirty-four billion, four million, forty-five thousand, five hundred twenty-five".

Divisors: 1 5 25 367 1835 9175 3706163 18530815 92654075 1360161821 6800809105 34004045525