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34065834 = 23114112589
BaseRepresentation
bin1000000111110…
…0110110101010
32101002201112120
42001330312222
532210101314
63214052110
7562361205
oct201746652
971081476
1034065834
1118258190
12b4aa036
1370997ca
14474a93c
152ecd8a9
hex207cdaa

34065834 has 32 divisors (see below), whose sum is σ = 76144320. Its totient is φ = 10070400.

The previous prime is 34065821. The next prime is 34065839. The reversal of 34065834 is 43856043.

34065834 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×340658342 = 2320962092231112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 34065795 and 34065804.

It is not an unprimeable number, because it can be changed into a prime (34065839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3589 + ... + 9000.

It is an arithmetic number, because the mean of its divisors is an integer number (2379510).

Almost surely, 234065834 is an apocalyptic number.

34065834 is an abundant number, since it is smaller than the sum of its proper divisors (42078486).

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

34065834 is a wasteful number, since it uses less digits than its factorization.

34065834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12646.

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

The square root of 34065834 is about 5836.5943837138. The cubic root of 34065834 is about 324.1701400256.

The spelling of 34065834 in words is "thirty-four million, sixty-five thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 41 66 82 123 246 451 902 1353 2706 12589 25178 37767 75534 138479 276958 415437 516149 830874 1032298 1548447 3096894 5677639 11355278 17032917 34065834