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3429 = 33127
BaseRepresentation
bin110101100101
311201000
4311211
5102204
623513
712666
oct6545
94630
103429
112638
121b99
13173a
14136d
151039
hexd65

• Sorting the digits of 23429 in ascending order we obtain a prime of 925 digits.


3429 has 8 divisors (see below), whose sum is σ = 5120. Its totient is φ = 2268.

The previous prime is 3413. The next prime is 3433. The reversal of 3429 is 9243.

3429 is an esthetic number in base 8, because in such base its adjacent digits differ by 1.

It is not a de Polignac number, because 3429 - 24 = 3413 is a prime.

It is a Duffinian number.

It is a plaindrome in base 7 and base 14.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37 + ... + 90.

It is an arithmetic number, because the mean of its divisors is an integer number (640).

It is an amenable number.

3429 is a deficient number, since it is larger than the sum of its proper divisors (1691).

3429 is a wasteful number, since it uses less digits than its factorization.

3429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 130 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 3429 is about 58.5576638878. The cubic root of 3429 is about 15.0795770859.

It can be divided in two parts, 342 and 9, that added together give a triangular number (351 = T26).

The spelling of 3429 in words is "three thousand, four hundred twenty-nine".

Divisors: 1 3 9 27 127 381 1143 3429