Search a number
-
+
34061313 = 3111379397
BaseRepresentation
bin1000000111101…
…1110000000001
32101002111100010
42001323300001
532204430223
63214015133
7562342056
oct201736001
971074303
1034061313
1118254850
12b4a74a9
137097730
14474902d
152ecc393
hex207bc01

34061313 has 16 divisors (see below), whose sum is σ = 53355456. Its totient is φ = 19055040.

The previous prime is 34061311. The next prime is 34061329. The reversal of 34061313 is 31316043.

It is not a de Polignac number, because 34061313 - 21 = 34061311 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 34061313.

It is not an unprimeable number, because it can be changed into a prime (34061311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39270 + ... + 40127.

It is an arithmetic number, because the mean of its divisors is an integer number (3334716).

Almost surely, 234061313 is an apocalyptic number.

34061313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

34061313 is a deficient number, since it is larger than the sum of its proper divisors (19294143).

34061313 is a wasteful number, since it uses less digits than its factorization.

34061313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79424.

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 34061313 is about 5836.2070730912. The cubic root of 34061313 is about 324.1557987940.

Adding to 34061313 its reverse (31316043), we get a palindrome (65377356).

The spelling of 34061313 in words is "thirty-four million, sixty-one thousand, three hundred thirteen".

Divisors: 1 3 11 13 33 39 143 429 79397 238191 873367 1032161 2620101 3096483 11353771 34061313