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18082344 = 2337372909
BaseRepresentation
bin100010011111…
…0101000101000
31021000200022110
41010332220220
514112113334
61443322320
7306461130
oct104765050
937020273
1018082344
11a230595
1260803a0
133991617
142589ac0
1518c2ae9
hex113ea28

18082344 has 64 divisors (see below), whose sum is σ = 53078400. Its totient is φ = 5025024.

The previous prime is 18082343. The next prime is 18082367. The reversal of 18082344 is 44328081.

It is not an unprimeable number, because it can be changed into a prime (18082343) 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 15 ways as a sum of consecutive naturals, for example, 4762 + ... + 7670.

It is an arithmetic number, because the mean of its divisors is an integer number (829350).

Almost surely, 218082344 is an apocalyptic number.

18082344 is a gapful number since it is divisible by the number (14) 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 18082344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26539200).

18082344 is an abundant number, since it is smaller than the sum of its proper divisors (34996056).

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

18082344 is a wasteful number, since it uses less digits than its factorization.

18082344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2962 (or 2958 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 18082344 is about 4252.3339473753. Note that the first 3 decimals coincide. The cubic root of 18082344 is about 262.4731655109.

The spelling of 18082344 in words is "eighteen million, eighty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 74 84 111 148 168 222 259 296 444 518 777 888 1036 1554 2072 2909 3108 5818 6216 8727 11636 17454 20363 23272 34908 40726 61089 69816 81452 107633 122178 162904 215266 244356 322899 430532 488712 645798 753431 861064 1291596 1506862 2260293 2583192 3013724 4520586 6027448 9041172 18082344