Search a number
-
+
18390834 = 2337114423
BaseRepresentation
bin100011000100…
…1111100110010
31021121100111000
41012021330302
514202001314
61454102430
7312214410
oct106117462
937540430
1018390834
11a421340
1261aaa16
133a6bb67
14262a2b0
151934209
hex1189f32

18390834 has 64 divisors (see below), whose sum is σ = 50964480. Its totient is φ = 4775760.

The previous prime is 18390833. The next prime is 18390851. The reversal of 18390834 is 43809381.

18390834 is nontrivially palindromic in base 12.

It is not an unprimeable number, because it can be changed into a prime (18390833) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1947 + ... + 6369.

It is an arithmetic number, because the mean of its divisors is an integer number (796320).

Almost surely, 218390834 is an apocalyptic number.

18390834 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18390834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25482240).

18390834 is an abundant number, since it is smaller than the sum of its proper divisors (32573646).

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

18390834 is a wasteful number, since it uses less digits than its factorization.

18390834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4452 (or 4446 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 18390834 is about 4288.4535674296. The cubic root of 18390834 is about 263.9573794833.

The spelling of 18390834 in words is "eighteen million, three hundred ninety thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 198 231 297 378 462 594 693 1386 2079 4158 4423 8846 13269 26538 30961 39807 48653 61922 79614 92883 97306 119421 145959 185766 238842 278649 291918 340571 437877 557298 681142 835947 875754 1021713 1313631 1671894 2043426 2627262 3065139 6130278 9195417 18390834