Search a number
-
+
18709344 = 2532167389
BaseRepresentation
bin100011101011…
…1101101100000
31022012112101200
41013113231200
514242144334
61505001200
7315012123
oct107275540
938175350
1018709344
11a619675
126323200
133b50b24
1426b03ba
151998799
hex11d7b60

18709344 has 72 divisors (see below), whose sum is σ = 53660880. Its totient is φ = 6183168.

The previous prime is 18709331. The next prime is 18709349. The reversal of 18709344 is 44390781.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 18709299 and 18709308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18709349) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 47902 + ... + 48290.

It is an arithmetic number, because the mean of its divisors is an integer number (745290).

Almost surely, 218709344 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 18709344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26830440).

18709344 is an abundant number, since it is smaller than the sum of its proper divisors (34951536).

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

18709344 is a wasteful number, since it uses less digits than its factorization.

18709344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 18709344 is about 4325.4299208287. The cubic root of 18709344 is about 265.4724880256.

The spelling of 18709344 in words is "eighteen million, seven hundred nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 167 288 334 389 501 668 778 1002 1167 1336 1503 1556 2004 2334 2672 3006 3112 3501 4008 4668 5344 6012 6224 7002 8016 9336 12024 12448 14004 16032 18672 24048 28008 37344 48096 56016 64963 112032 129926 194889 259852 389778 519704 584667 779556 1039408 1169334 1559112 2078816 2338668 3118224 4677336 6236448 9354672 18709344