Search a number
-
+
18301734 = 2331122801
BaseRepresentation
bin100010111010…
…0001100100110
31021102211021000
41011310030212
514141123414
61452134130
7311363553
oct105641446
937384230
1018301734
11a370400
126167346
133a3a439
142605a2a
151917b09
hex1174326

18301734 has 48 divisors (see below), whose sum is σ = 44719920. Its totient is φ = 5544000.

The previous prime is 18301733. The next prime is 18301739. The reversal of 18301734 is 43710381.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 18301698 and 18301707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18301733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5134 + ... + 7934.

It is an arithmetic number, because the mean of its divisors is an integer number (931665).

Almost surely, 218301734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18301734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22359960).

18301734 is an abundant number, since it is smaller than the sum of its proper divisors (26418186).

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

18301734 is a wasteful number, since it uses less digits than its factorization.

18301734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2834 (or 2817 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 18301734 is about 4278.0525943471. The cubic root of 18301734 is about 263.5304152306.

The spelling of 18301734 in words is "eighteen million, three hundred one thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 121 198 242 297 363 594 726 1089 2178 2801 3267 5602 6534 8403 16806 25209 30811 50418 61622 75627 92433 151254 184866 277299 338921 554598 677842 831897 1016763 1663794 2033526 3050289 6100578 9150867 18301734