Search a number
-
+
14381334 = 2331123171
BaseRepresentation
bin110110110111…
…000100010110
31000001122111000
4312313010112
512140200314
61232124130
7233145042
oct66670426
930048430
1014381334
118132a00
124996646
132c96b86
141ca5022
1513e1209
hexdb7116

14381334 has 96 divisors (see below), whose sum is σ = 36771840. Its totient is φ = 4158000.

The previous prime is 14381321. The next prime is 14381359. The reversal of 14381334 is 43318341.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 14381298 and 14381307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 202519 + ... + 202589.

It is an arithmetic number, because the mean of its divisors is an integer number (383040).

Almost surely, 214381334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14381334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18385920).

14381334 is an abundant number, since it is smaller than the sum of its proper divisors (22390506).

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

14381334 is a wasteful number, since it uses less digits than its factorization.

14381334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 118 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 14381334 is about 3792.2729332156. The cubic root of 14381334 is about 243.1829136448.

Adding to 14381334 its reverse (43318341), we get a palindrome (57699675).

It can be divided in two parts, 1438 and 1334, that added together give a palindrome (2772).

The spelling of 14381334 in words is "fourteen million, three hundred eighty-one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 31 33 54 62 66 71 93 99 121 142 186 198 213 242 279 297 341 363 426 558 594 639 682 726 781 837 1023 1089 1278 1562 1674 1917 2046 2178 2201 2343 3069 3267 3751 3834 4402 4686 6138 6534 6603 7029 7502 8591 9207 11253 13206 14058 17182 18414 19809 21087 22506 24211 25773 33759 39618 42174 48422 51546 59427 67518 72633 77319 101277 118854 145266 154638 202554 217899 231957 266321 435798 463914 532642 653697 798963 1307394 1597926 2396889 4793778 7190667 14381334