Search a number
-
+
34331313 = 3176071109
BaseRepresentation
bin1000001011110…
…1101010110001
32101121012201010
42002331222301
532242100223
63223501133
7564545202
oct202755261
971535633
1034331313
1118419695
12b5b77a9
1371605b3
1447b95a9
153032393
hex20bdab1

34331313 has 16 divisors (see below), whose sum is σ = 48591360. Its totient is φ = 21486336.

The previous prime is 34331261. The next prime is 34331371. The reversal of 34331313 is 31313343.

34331313 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 34331313 - 29 = 34330801 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34331313.

It is not an unprimeable number, because it can be changed into a prime (34331393) 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, 30403 + ... + 31511.

It is an arithmetic number, because the mean of its divisors is an integer number (3036960).

Almost surely, 234331313 is an apocalyptic number.

It is an amenable number.

34331313 is a deficient number, since it is larger than the sum of its proper divisors (14260047).

34331313 is a wasteful number, since it uses less digits than its factorization.

34331313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1736.

The product of its digits is 972, while the sum is 21.

The square root of 34331313 is about 5859.2928754245. The cubic root of 34331313 is about 325.0100604381.

Adding to 34331313 its reverse (31313343), we get a palindrome (65644656).

The spelling of 34331313 in words is "thirty-four million, three hundred thirty-one thousand, three hundred thirteen".

Divisors: 1 3 17 51 607 1109 1821 3327 10319 18853 30957 56559 673163 2019489 11443771 34331313