Search a number
-
+
18468324 = 2234717479
BaseRepresentation
bin100011001110…
…0110111100100
31021202021210000
41012130313210
514211441244
61455501300
7312656340
oct106346744
937667700
1018468324
11a474586
126227830
133a98204
14264a620
15194c169
hex119cde4

18468324 has 120 divisors (see below), whose sum is σ = 58544640. Its totient is φ = 4955904.

The previous prime is 18468319. The next prime is 18468337. The reversal of 18468324 is 42386481.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 39 ways as a sum of consecutive naturals, for example, 38317 + ... + 38795.

It is an arithmetic number, because the mean of its divisors is an integer number (487872).

Almost surely, 218468324 is an apocalyptic number.

18468324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18468324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29272320).

18468324 is an abundant number, since it is smaller than the sum of its proper divisors (40076316).

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

18468324 is a wasteful number, since it uses less digits than its factorization.

18468324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 508 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 18468324 is about 4297.4787957592. The cubic root of 18468324 is about 264.3275892046.

The spelling of 18468324 in words is "eighteen million, four hundred sixty-eight thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 51 54 63 68 81 84 102 108 119 126 153 162 189 204 238 252 306 324 357 378 459 476 479 567 612 714 756 918 958 1071 1134 1377 1428 1437 1836 1916 2142 2268 2754 2874 3213 3353 4284 4311 5508 5748 6426 6706 8143 8622 9639 10059 12852 12933 13412 16286 17244 19278 20118 24429 25866 30177 32572 38556 38799 40236 48858 51732 57001 60354 73287 77598 90531 97716 114002 120708 146574 155196 171003 181062 219861 228004 271593 293148 342006 362124 439722 513009 543186 659583 684012 879444 1026018 1086372 1319166 1539027 2052036 2638332 3078054 4617081 6156108 9234162 18468324