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14414184 = 23321071871
BaseRepresentation
bin110110111111…
…000101101000
31000010022112200
4312333011220
512142223214
61232540200
7233342601
oct66770550
930108480
1014414184
118155654
1249b1660
132ca8b05
141cb2da8
1513ead09
hexdbf168

14414184 has 48 divisors (see below), whose sum is σ = 39424320. Its totient is φ = 4757280.

The previous prime is 14414171. The next prime is 14414203. The reversal of 14414184 is 48141441.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6769 + ... + 8639.

It is an arithmetic number, because the mean of its divisors is an integer number (821340).

Almost surely, 214414184 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 14414184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19712160).

14414184 is an abundant number, since it is smaller than the sum of its proper divisors (25010136).

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

14414184 is a wasteful number, since it uses less digits than its factorization.

14414184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1990 (or 1983 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 14414184 is about 3796.6016383076. The cubic root of 14414184 is about 243.3679331964.

It can be divided in two parts, 1441 and 4184, that added together give a square (5625 = 752).

The spelling of 14414184 in words is "fourteen million, four hundred fourteen thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 107 214 321 428 642 856 963 1284 1871 1926 2568 3742 3852 5613 7484 7704 11226 14968 16839 22452 33678 44904 67356 134712 200197 400394 600591 800788 1201182 1601576 1801773 2402364 3603546 4804728 7207092 14414184