Search a number
-
+
2108349 = 3426029
BaseRepresentation
bin1000000010101110111101
310222010010000
420002232331
51014431344
6113104513
723630535
oct10025675
93863100
102108349
111210041
12858139
1358a859
143cc4c5
152b9a69
hex202bbd

2108349 has 10 divisors (see below), whose sum is σ = 3149630. Its totient is φ = 1405512.

The previous prime is 2108347. The next prime is 2108363. The reversal of 2108349 is 9438012.

2108349 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1265625 + 842724 = 1125^2 + 918^2 .

It is not a de Polignac number, because 2108349 - 21 = 2108347 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 221 + 1 + 0 + 83 + 33 + 46 + 94 .

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2108347) 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 9 ways as a sum of consecutive naturals, for example, 12934 + ... + 13095.

It is an arithmetic number, because the mean of its divisors is an integer number (314963).

22108349 is an apocalyptic number.

It is an amenable number.

2108349 is a deficient number, since it is larger than the sum of its proper divisors (1041281).

2108349 is an equidigital number, since it uses as much as digits as its factorization.

2108349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26041 (or 26032 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2108349 is about 1452.0154957851. The cubic root of 2108349 is about 128.2273993210.

2108349 divided by its sum of digits (27) gives a palindrome (78087).

The spelling of 2108349 in words is "two million, one hundred eight thousand, three hundred forty-nine".

Divisors: 1 3 9 27 81 26029 78087 234261 702783 2108349