Search a number
-
+
18254340 = 223251329269
BaseRepresentation
bin100010110100…
…0101000000100
31021100102020200
41011220220010
514133114330
61451130500
7311105436
oct105505004
937312220
1018254340
11a338835
126143a30
133a219b0
1425d2656
151908a60
hex1168a04

18254340 has 144 divisors (see below), whose sum is σ = 61916400. Its totient is φ = 4322304.

The previous prime is 18254323. The next prime is 18254347. The reversal of 18254340 is 4345281.

18254340 is a `hidden beast` number, since 1 + 82 + 543 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4460544 + 13793796 = 2112^2 + 3714^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18254347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67726 + ... + 67994.

It is an arithmetic number, because the mean of its divisors is an integer number (429975).

Almost surely, 218254340 is an apocalyptic number.

18254340 is a gapful number since it is divisible by the number (10) 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 18254340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30958200).

18254340 is an abundant number, since it is smaller than the sum of its proper divisors (43662060).

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

18254340 is a wasteful number, since it uses less digits than its factorization.

18254340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 18254340 is about 4272.5098010420. The cubic root of 18254340 is about 263.3027399521.

The spelling of 18254340 in words is "eighteen million, two hundred fifty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 29 30 36 39 45 52 58 60 65 78 87 90 116 117 130 145 156 174 180 195 234 260 261 269 290 348 377 390 435 468 522 538 580 585 754 780 807 870 1044 1076 1131 1170 1305 1345 1508 1614 1740 1885 2262 2340 2421 2610 2690 3228 3393 3497 3770 4035 4524 4842 5220 5380 5655 6786 6994 7540 7801 8070 9684 10491 11310 12105 13572 13988 15602 16140 16965 17485 20982 22620 23403 24210 31204 31473 33930 34970 39005 41964 46806 48420 52455 62946 67860 69940 70209 78010 93612 101413 104910 117015 125892 140418 156020 157365 202826 209820 234030 280836 304239 314730 351045 405652 468060 507065 608478 629460 702090 912717 1014130 1216956 1404180 1521195 1825434 2028260 3042390 3650868 4563585 6084780 9127170 18254340