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34638045 = 3513199349
BaseRepresentation
bin1000010000100…
…0100011011101
32102011210110120
42010020203131
532331404140
63234225153
7600263361
oct204104335
972153416
1034638045
1118609092
12b7251b9
13723a0b0
1448592a1
1530931d0
hex21088dd

34638045 has 32 divisors (see below), whose sum is σ = 62832000. Its totient is φ = 16153344.

The previous prime is 34638011. The next prime is 34638047. The reversal of 34638045 is 54083643.

It is not a de Polignac number, because 34638045 - 210 = 34637021 is a prime.

It is a super-2 number, since 2×346380452 = 2399588322844050, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34637997 and 34638015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34638047) 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, 970 + ... + 8379.

It is an arithmetic number, because the mean of its divisors is an integer number (1963500).

Almost surely, 234638045 is an apocalyptic number.

It is an amenable number.

34638045 is a deficient number, since it is larger than the sum of its proper divisors (28193955).

34638045 is a wasteful number, since it uses less digits than its factorization.

34638045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9389.

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 34638045 is about 5885.4095014706. The cubic root of 34638045 is about 325.9751226202.

The spelling of 34638045 in words is "thirty-four million, six hundred thirty-eight thousand, forty-five".

Divisors: 1 3 5 13 15 19 39 57 65 95 195 247 285 741 1235 3705 9349 28047 46745 121537 140235 177631 364611 532893 607685 888155 1823055 2309203 2664465 6927609 11546015 34638045