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34139781 = 32131092677
BaseRepresentation
bin1000001000111…
…0111010000101
32101020110222100
42002032322011
532214433111
63215422313
7563116614
oct202167205
971213870
1034139781
11182a87a5
12b524999
1370c4370
14476987b
152ee5756
hex208ee85

34139781 has 24 divisors (see below), whose sum is σ = 53613560. Its totient is φ = 20808576.

The previous prime is 34139753. The next prime is 34139801. The reversal of 34139781 is 18793143.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 22500 + 34117281 = 150^2 + 5841^2 .

It is not a de Polignac number, because 34139781 - 219 = 33615493 is a prime.

It is a super-2 number, since 2×341397812 = 2331049293455922, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34139731) 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 23 ways as a sum of consecutive naturals, for example, 11415 + ... + 14091.

Almost surely, 234139781 is an apocalyptic number.

It is an amenable number.

34139781 is a deficient number, since it is larger than the sum of its proper divisors (19473779).

34139781 is a wasteful number, since it uses less digits than its factorization.

34139781 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2805 (or 2802 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 34139781 is about 5842.9257226153. The cubic root of 34139781 is about 324.4045301504.

The spelling of 34139781 in words is "thirty-four million, one hundred thirty-nine thousand, seven hundred eighty-one".

Divisors: 1 3 9 13 39 109 117 327 981 1417 2677 4251 8031 12753 24093 34801 104403 291793 313209 875379 2626137 3793309 11379927 34139781