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34311129 = 3109317331
BaseRepresentation
bin1000001011100…
…0101111011001
32101120012000120
42002320233121
532240424004
63223223453
7564432306
oct202705731
971505016
1034311129
1118405506
12b5a7b89
137154358
1447b20ad
15302b3d9
hex20b8bd9

34311129 has 16 divisors (see below), whose sum is σ = 46453440. Its totient is φ = 22524480.

The previous prime is 34311091. The next prime is 34311133. The reversal of 34311129 is 92111343.

34311129 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 34311129 - 27 = 34311001 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34311099 and 34311108.

It is not an unprimeable number, because it can be changed into a prime (34311229) 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, 103494 + ... + 103824.

It is an arithmetic number, because the mean of its divisors is an integer number (2903340).

Almost surely, 234311129 is an apocalyptic number.

It is an amenable number.

34311129 is a deficient number, since it is larger than the sum of its proper divisors (12142311).

34311129 is a wasteful number, since it uses less digits than its factorization.

34311129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760.

The product of its digits is 648, while the sum is 24.

The square root of 34311129 is about 5857.5702300527. The cubic root of 34311129 is about 324.9463548538.

It can be divided in two parts, 3431 and 1129, that added together give a triangular number (4560 = T95).

The spelling of 34311129 in words is "thirty-four million, three hundred eleven thousand, one hundred twenty-nine".

Divisors: 1 3 109 317 327 331 951 993 34553 36079 103659 104927 108237 314781 11437043 34311129