Search a number
-
+
338734366516 = 227132208934267
BaseRepresentation
bin1001110110111100010…
…01000011111100110100
31012101022222110201111101
410323132021003330310
521022211444212031
6415340141015444
733321103415530
oct4733611037464
91171288421441
10338734366516
111207247a0157
1255795554584
1325c33919800
14125755b6bc0
158c27ee3361
hex4ede243f34

338734366516 has 72 divisors (see below), whose sum is σ = 733962989760. Its totient is φ = 133936747776.

The previous prime is 338734366483. The next prime is 338734366549. The reversal of 338734366516 is 615663437833.

It is an interprime number because it is at equal distance from previous prime (338734366483) and next prime (338734366549).

It is a super-2 number, since 2×3387343665162 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9868015 + ... + 9902281.

Almost surely, 2338734366516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338734366516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366981494880).

338734366516 is an abundant number, since it is smaller than the sum of its proper divisors (395228623244).

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

338734366516 is a wasteful number, since it uses less digits than its factorization.

338734366516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36393 (or 36378 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 55.

The spelling of 338734366516 in words is "three hundred thirty-eight billion, seven hundred thirty-four million, three hundred sixty-six thousand, five hundred sixteen".

Divisors: 1 2 4 7 13 14 26 28 52 91 169 182 338 364 676 1183 2089 2366 4178 4732 8356 14623 27157 29246 34267 54314 58492 68534 108628 137068 190099 239869 353041 380198 445471 479738 706082 760396 890942 959476 1412164 1781884 2471287 3118297 4942574 5791123 6236594 9885148 11582246 12473188 23164492 40537861 71583763 81075722 143167526 162151444 286335052 501086341 930588919 1002172682 1861177838 2004345364 3722355676 6514122433 12097655947 13028244866 24195311894 26056489732 48390623788 84683591629 169367183258 338734366516