Search a number
-
+
34134455331 = 3241531819643
BaseRepresentation
bin11111110010100100…
…100111010000100011
310021002212222222212100
4133302210213100203
51024401410032311
623403043501443
72315612040324
oct376244472043
9107085888770
1034134455331
1113527012569
126747687883
1332acb02182
14191b59c44b
15d4baaca56
hex7f2927423

34134455331 has 48 divisors (see below), whose sum is σ = 51750552672. Its totient is φ = 21659788800.

The previous prime is 34134455323. The next prime is 34134455347. The reversal of 34134455331 is 13355443143.

34134455331 is a `hidden beast` number, since 3 + 41 + 34 + 4 + 553 + 31 = 666.

It is not a de Polignac number, because 34134455331 - 23 = 34134455323 is a prime.

It is a super-2 number, since 2×341344553312 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34134455351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3534996 + ... + 3544638.

It is an arithmetic number, because the mean of its divisors is an integer number (1078136514).

Almost surely, 234134455331 is an apocalyptic number.

34134455331 is a deficient number, since it is larger than the sum of its proper divisors (17616097341).

34134455331 is a wasteful number, since it uses less digits than its factorization.

34134455331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9924 (or 9921 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

Adding to 34134455331 its reverse (13355443143), we get a palindrome (47489898474).

The spelling of 34134455331 in words is "thirty-four billion, one hundred thirty-four million, four hundred fifty-five thousand, three hundred thirty-one".

Divisors: 1 3 9 41 53 123 159 181 369 477 543 1629 2173 6519 7421 9593 9643 19557 22263 28779 28929 66789 86337 86787 393313 395363 511079 1179939 1186089 1533237 1745383 3539817 3558267 4599711 5236149 15708447 20954239 62862717 71560703 92505299 188588151 214682109 277515897 644046327 832547691 3792717259 11378151777 34134455331