Search a number
-
+
34200405 = 3253532153
BaseRepresentation
bin1000001001110…
…1101101010101
32101100120010200
42002131231111
532223403110
63221011113
7563461431
oct202355525
971316120
1034200405
111833a2a8
12b553a99
137115b35
1447839c1
1530086c0
hex209db55

34200405 has 24 divisors (see below), whose sum is σ = 59476248. Its totient is φ = 18180096.

The previous prime is 34200403. The next prime is 34200407. The reversal of 34200405 is 50400243.

It is a happy number.

34200405 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (34200403) and next prime (34200407).

It can be written as a sum of positive squares in 4 ways, for example, as 12996 + 34187409 = 114^2 + 5847^2 .

It is not a de Polignac number, because 34200405 - 21 = 34200403 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34200403) 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 23 ways as a sum of consecutive naturals, for example, 14809 + ... + 16961.

It is an arithmetic number, because the mean of its divisors is an integer number (2478177).

Almost surely, 234200405 is an apocalyptic number.

It is an amenable number.

34200405 is a deficient number, since it is larger than the sum of its proper divisors (25275843).

34200405 is a wasteful number, since it uses less digits than its factorization.

34200405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2517 (or 2514 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 34200405 is about 5848.1112335522. Note that the first 3 decimals coincide. The cubic root of 34200405 is about 324.5964379486.

Adding to 34200405 its reverse (50400243), we get a palindrome (84600648).

The spelling of 34200405 in words is "thirty-four million, two hundred thousand, four hundred five".

Divisors: 1 3 5 9 15 45 353 1059 1765 2153 3177 5295 6459 10765 15885 19377 32295 96885 760009 2280027 3800045 6840081 11400135 34200405