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18714384 = 2432132769
BaseRepresentation
bin100011101100…
…0111100010000
31022012210022100
41013120330100
514242330014
61505040400
7315032613
oct107307420
938183270
1018714384
11a622437
126326100
133b53200
1426b217a
15199a009
hex11d8f10

18714384 has 90 divisors (see below), whose sum is σ = 56786730. Its totient is φ = 5750784.

The previous prime is 18714361. The next prime is 18714419. The reversal of 18714384 is 48341781.

It can be written as a sum of positive squares in 3 ways, for example, as 51984 + 18662400 = 228^2 + 4320^2 .

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

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 23952 + ... + 24720.

Almost surely, 218714384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18714384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28393365).

18714384 is an abundant number, since it is smaller than the sum of its proper divisors (38072346).

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

18714384 is a wasteful number, since it uses less digits than its factorization.

18714384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 787 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 18714384 is about 4326.0124826450. The cubic root of 18714384 is about 265.4963239088.

The spelling of 18714384 in words is "eighteen million, seven hundred fourteen thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 169 208 234 312 338 468 507 624 676 769 936 1014 1352 1521 1538 1872 2028 2307 2704 3042 3076 4056 4614 6084 6152 6921 8112 9228 9997 12168 12304 13842 18456 19994 24336 27684 29991 36912 39988 55368 59982 79976 89973 110736 119964 129961 159952 179946 239928 259922 359892 389883 479856 519844 719784 779766 1039688 1169649 1439568 1559532 2079376 2339298 3119064 4678596 6238128 9357192 18714384