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18414945 = 345411109
BaseRepresentation
bin100011000111…
…1110101100001
31021122120120000
41012033311201
514203234240
61454410213
7312344613
oct106176541
937576500
1018414945
11a43846a
126200969
133a79b23
142634db3
15193b430
hex118fd61

18414945 has 40 divisors (see below), whose sum is σ = 33846120. Its totient is φ = 9573120.

The previous prime is 18414941. The next prime is 18414953. The reversal of 18414945 is 54941481.

It can be written as a sum of positive squares in 4 ways, for example, as 1498176 + 16916769 = 1224^2 + 4113^2 .

It is not a de Polignac number, because 18414945 - 22 = 18414941 is a prime.

It is a super-2 number, since 2×184149452 = 678220398706050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (18414941) 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 39 ways as a sum of consecutive naturals, for example, 16051 + ... + 17159.

It is an arithmetic number, because the mean of its divisors is an integer number (846153).

Almost surely, 218414945 is an apocalyptic number.

18414945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

18414945 is a deficient number, since it is larger than the sum of its proper divisors (15431175).

18414945 is a wasteful number, since it uses less digits than its factorization.

18414945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1158 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 18414945 is about 4291.2637998613. The cubic root of 18414945 is about 264.0726814346.

It can be divided in two parts, 1841 and 4945, that added together give a triangular number (6786 = T116).

The spelling of 18414945 in words is "eighteen million, four hundred fourteen thousand, nine hundred forty-five".

Divisors: 1 3 5 9 15 27 41 45 81 123 135 205 369 405 615 1107 1109 1845 3321 3327 5535 5545 9981 16605 16635 29943 45469 49905 89829 136407 149715 227345 409221 449145 682035 1227663 2046105 3682989 6138315 18414945