Search a number
-
+
18338838 = 23741967
BaseRepresentation
bin100010111110…
…1010000010110
31021111201011020
41011331100112
514143320323
61453022010
7311610000
oct105752026
937451136
1018338838
11a396271
126184906
133a512ab
142615370
151923ae3
hex117d416

18338838 has 80 divisors (see below), whose sum is σ = 45712320. Its totient is φ = 4889808.

The previous prime is 18338833. The next prime is 18338867. The reversal of 18338838 is 83883381.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 18338838.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18338833) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 273681 + ... + 273747.

It is an arithmetic number, because the mean of its divisors is an integer number (571404).

Almost surely, 218338838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18338838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22856160).

18338838 is an abundant number, since it is smaller than the sum of its proper divisors (27373482).

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

18338838 is an equidigital number, since it uses as much as digits as its factorization.

18338838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 98 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 18338838 is about 4282.3869512224. The cubic root of 18338838 is about 263.7083843806.

The spelling of 18338838 in words is "eighteen million, three hundred thirty-eight thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 7 14 19 21 38 42 49 57 67 98 114 133 134 147 201 266 294 343 399 402 469 686 798 931 938 1029 1273 1407 1862 2058 2401 2546 2793 2814 3283 3819 4802 5586 6517 6566 7203 7638 8911 9849 13034 14406 17822 19551 19698 22981 26733 39102 45619 45962 53466 62377 68943 91238 124754 136857 137886 160867 187131 273714 321734 374262 436639 482601 873278 965202 1309917 2619834 3056473 6112946 9169419 18338838