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34069536 = 2532118297
BaseRepresentation
bin1000000111110…
…1110000100000
32101002220121200
42001331300200
532210211121
63214121200
7562405044
oct201756040
971086550
1034069536
111825aa46
12b4b0200
13709b3b7
14474c024
152ecea26
hex207dc20

34069536 has 36 divisors (see below), whose sum is σ = 96886062. Its totient is φ = 11356416.

The previous prime is 34069523. The next prime is 34069543. The reversal of 34069536 is 63596043.

It can be written as a sum of positive squares in only one way, i.e., 33872400 + 197136 = 5820^2 + 444^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 34069536.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 58861 + ... + 59436.

Almost surely, 234069536 is an apocalyptic number.

34069536 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34069536 is an abundant number, since it is smaller than the sum of its proper divisors (62816526).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34069536 is a wasteful number, since it uses less digits than its factorization.

34069536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118313 (or 118302 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 34069536 is about 5836.9115120927. The cubic root of 34069536 is about 324.1818823321.

The spelling of 34069536 in words is "thirty-four million, sixty-nine thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 118297 236594 354891 473188 709782 946376 1064673 1419564 1892752 2129346 2839128 3785504 4258692 5678256 8517384 11356512 17034768 34069536