Search a number
-
+
664344135 = 325713533061
BaseRepresentation
bin100111100110010…
…001011001000111
31201022002011211100
4213212101121013
52330033003020
6145531111143
722314555240
oct4746213107
91638064740
10664344135
11311006644
121665a24b3
13a7836c50
1464335cc7
153d4cca90
hex27991647

664344135 has 96 divisors (see below), whose sum is σ = 1444480128. Its totient is φ = 274959360.

The previous prime is 664344133. The next prime is 664344137. The reversal of 664344135 is 531443466.

664344135 is a `hidden beast` number, since 6 + 643 + 4 + 4 + 1 + 3 + 5 = 666.

664344135 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (664344133) and next prime (664344137).

It is not a de Polignac number, because 664344135 - 21 = 664344133 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 664344135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (664344133) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 215505 + ... + 218565.

It is an arithmetic number, because the mean of its divisors is an integer number (15046668).

Almost surely, 2664344135 is an apocalyptic number.

664344135 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

664344135 is an abundant number, since it is smaller than the sum of its proper divisors (780135993).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

664344135 is a wasteful number, since it uses less digits than its factorization.

664344135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3145 (or 3142 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 664344135 is about 25774.8741025053. The cubic root of 664344135 is about 872.5648252478.

The spelling of 664344135 in words is "six hundred sixty-four million, three hundred forty-four thousand, one hundred thirty-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 53 63 65 91 105 117 159 195 265 273 315 371 455 477 585 689 795 819 1113 1365 1855 2067 2385 3061 3339 3445 4095 4823 5565 6201 9183 10335 14469 15305 16695 21427 24115 27549 31005 39793 43407 45915 64281 72345 107135 119379 137745 162233 192843 198965 217035 278551 321405 358137 486699 596895 811165 835653 964215 1135631 1392755 1460097 1790685 2109029 2433495 2506959 3406893 4178265 5678155 6327087 7300485 10220679 10545145 12534795 14763203 17034465 18981261 31635435 44289609 51103395 73816015 94906305 132868827 221448045 664344135