Search a number
-
+
1264431729 = 311217613359
BaseRepresentation
bin100101101011101…
…1011001001110001
310021010020210020210
41023113123021301
510042143303404
6325245054333
743222330611
oct11327331161
93233223223
101264431729
11599814300
122b35573a9
13171c63672
14bdd02a41
1576016689
hex4b5db271

1264431729 has 48 divisors (see below), whose sum is σ = 1994872320. Its totient is φ = 709209600.

The previous prime is 1264431691. The next prime is 1264431757. The reversal of 1264431729 is 9271344621.

It is not a de Polignac number, because 1264431729 - 219 = 1263907441 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1264431769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 374752 + ... + 378110.

It is an arithmetic number, because the mean of its divisors is an integer number (41559840).

Almost surely, 21264431729 is an apocalyptic number.

It is an amenable number.

1264431729 is a deficient number, since it is larger than the sum of its proper divisors (730440591).

1264431729 is a wasteful number, since it uses less digits than its factorization.

1264431729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3462 (or 3451 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 1264431729 is about 35558.8488143247. The cubic root of 1264431729 is about 1081.3471212881.

The spelling of 1264431729 in words is "one billion, two hundred sixty-four million, four hundred thirty-one thousand, seven hundred twenty-nine".

Divisors: 1 3 11 17 33 51 61 121 183 187 363 561 671 1037 2013 2057 3111 3359 6171 7381 10077 11407 22143 34221 36949 57103 110847 125477 171309 204899 376431 406439 614697 628133 1219317 1884399 2253889 3483283 6761667 6909463 10449849 20728389 24792779 38316113 74378337 114948339 421477243 1264431729