Search a number
-
+
18093348 = 22337213263
BaseRepresentation
bin100010100000…
…1010100100100
31021001020102000
41011001110210
514112441343
61443445300
7306535200
oct105012444
937036360
1018093348
11a238889
126086830
133996630
14258db00
1518c5ed3
hex1141524

18093348 has 144 divisors (see below), whose sum is σ = 58988160. Its totient is φ = 4753728.

The previous prime is 18093347. The next prime is 18093373. The reversal of 18093348 is 84339081.

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

It is not an unprimeable number, because it can be changed into a prime (18093343) 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, 68665 + ... + 68927.

It is an arithmetic number, because the mean of its divisors is an integer number (409640).

Almost surely, 218093348 is an apocalyptic number.

18093348 is a gapful number since it is divisible by the number (18) 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 18093348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29494080).

18093348 is an abundant number, since it is smaller than the sum of its proper divisors (40894812).

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

18093348 is a wasteful number, since it uses less digits than its factorization.

18093348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 288 counting only the distinct ones).

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

The square root of 18093348 is about 4253.6276282721. The cubic root of 18093348 is about 262.5263973454.

It can be divided in two parts, 180 and 93348, that added together give a triangular number (93528 = T432).

The spelling of 18093348 in words is "eighteen million, ninety-three thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 49 52 54 63 78 84 91 98 108 117 126 147 156 182 189 196 234 252 263 273 294 351 364 378 441 468 526 546 588 637 702 756 789 819 882 1052 1092 1274 1323 1404 1578 1638 1764 1841 1911 2367 2457 2548 2646 3156 3276 3419 3682 3822 4734 4914 5292 5523 5733 6838 7101 7364 7644 9468 9828 10257 11046 11466 12887 13676 14202 16569 17199 20514 22092 22932 23933 25774 28404 30771 33138 34398 38661 41028 47866 49707 51548 61542 66276 68796 71799 77322 92313 95732 99414 115983 123084 143598 154644 167531 184626 198828 215397 231966 287196 335062 347949 369252 430794 463932 502593 646191 670124 695898 861588 1005186 1292382 1391796 1507779 2010372 2584764 3015558 4523337 6031116 9046674 18093348