Search a number
-
+
18289314 = 2341729229
BaseRepresentation
bin100010111000…
…1001010100010
31021102012020000
41011301022202
514140224224
61452000430
7311312421
oct105611242
937365200
1018289314
11a36203a
126160116
133a348a4
1426012b8
1519140c9
hex11712a2

18289314 has 80 divisors (see below), whose sum is σ = 45084600. Its totient is φ = 5515776.

The previous prime is 18289307. The next prime is 18289357. The reversal of 18289314 is 41398281.

It can be written as a sum of positive squares in 4 ways, for example, as 18275625 + 13689 = 4275^2 + 117^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 79752 + ... + 79980.

Almost surely, 218289314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18289314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22542300).

18289314 is an abundant number, since it is smaller than the sum of its proper divisors (26795286).

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

18289314 is a wasteful number, since it uses less digits than its factorization.

18289314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 280 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 18289314 is about 4276.6007529345. The cubic root of 18289314 is about 263.4707890330.

The spelling of 18289314 in words is "eighteen million, two hundred eighty-nine thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 17 18 27 29 34 51 54 58 81 87 102 153 162 174 229 261 306 458 459 493 522 687 783 918 986 1374 1377 1479 1566 2061 2349 2754 2958 3893 4122 4437 4698 6183 6641 7786 8874 11679 12366 13282 13311 18549 19923 23358 26622 35037 37098 39846 39933 59769 70074 79866 105111 112897 119538 179307 210222 225794 315333 338691 358614 537921 630666 677382 1016073 1075842 2032146 3048219 6096438 9144657 18289314