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34121631 = 3611371361
BaseRepresentation
bin1000001000101…
…0011110011111
32101012120002010
42002022132133
532213343011
63215202303
7563012655
oct202123637
971176063
1034121631
11182960a5
12b516393
1370b901b
144762dd5
152ee01a6
hex208a79f

34121631 has 16 divisors (see below), whose sum is σ = 46613088. Its totient is φ = 22195200.

The previous prime is 34121617. The next prime is 34121639. The reversal of 34121631 is 13612143.

34121631 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34121631 - 25 = 34121599 is a prime.

It is a super-2 number, since 2×341216312 = 2328571404200322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34121598 and 34121607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34121639) 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, 24391 + ... + 25751.

It is an arithmetic number, because the mean of its divisors is an integer number (2913318).

Almost surely, 234121631 is an apocalyptic number.

34121631 is a deficient number, since it is larger than the sum of its proper divisors (12491457).

34121631 is a wasteful number, since it uses less digits than its factorization.

34121631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562.

The product of its digits is 432, while the sum is 21.

The square root of 34121631 is about 5841.3723558767. The cubic root of 34121631 is about 324.3470313833.

Adding to 34121631 its reverse (13612143), we get a palindrome (47733774).

The spelling of 34121631 in words is "thirty-four million, one hundred twenty-one thousand, six hundred thirty-one".

Divisors: 1 3 61 137 183 411 1361 4083 8357 25071 83021 186457 249063 559371 11373877 34121631