Search a number
-
+
34131321 = 337419431
BaseRepresentation
bin1000001000110…
…0110101111001
32101020001101000
42002030311321
532214200241
63215315213
7563053140
oct202146571
971201330
1034131321
11182a2404
12b51bb09
1370c0563
144766757
152ee2eb6
hex208cd79

34131321 has 32 divisors (see below), whose sum is σ = 58060800. Its totient is φ = 19411920.

The previous prime is 34131319. The next prime is 34131337. The reversal of 34131321 is 12313143.

34131321 is a `hidden beast` number, since 341 + 3 + 1 + 321 = 666.

It is not a de Polignac number, because 34131321 - 21 = 34131319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34131294 and 34131303.

It is not an unprimeable number, because it can be changed into a prime (34131371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78976 + ... + 79406.

It is an arithmetic number, because the mean of its divisors is an integer number (1814400).

Almost surely, 234131321 is an apocalyptic number.

It is an amenable number.

34131321 is a deficient number, since it is larger than the sum of its proper divisors (23929479).

34131321 is a wasteful number, since it uses less digits than its factorization.

34131321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 860 counting only the distinct ones).

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

The square root of 34131321 is about 5842.2017253772. The cubic root of 34131321 is about 324.3777316085.

Adding to 34131321 its reverse (12313143), we get a palindrome (46444464).

The spelling of 34131321 in words is "thirty-four million, one hundred thirty-one thousand, three hundred twenty-one".

Divisors: 1 3 7 9 21 27 63 189 419 431 1257 1293 2933 3017 3771 3879 8799 9051 11313 11637 26397 27153 79191 81459 180589 541767 1264123 1625301 3792369 4875903 11377107 34131321