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14378064 = 243595077
BaseRepresentation
bin110110110110…
…010001010000
31000001110222220
4312312101100
512140044224
61232101040
7233132361
oct66662120
930043886
1014378064
1181304a8
124994780
132c9553c
141ca3b68
1513e0279
hexdb6450

14378064 has 40 divisors (see below), whose sum is σ = 37780320. Its totient is φ = 4710528.

The previous prime is 14378047. The next prime is 14378087. The reversal of 14378064 is 46087341.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 294 + ... + 5370.

It is an arithmetic number, because the mean of its divisors is an integer number (944508).

Almost surely, 214378064 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 14378064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18890160).

14378064 is an abundant number, since it is smaller than the sum of its proper divisors (23402256).

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

14378064 is a wasteful number, since it uses less digits than its factorization.

14378064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5147 (or 5141 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 14378064 is about 3791.8417688506. The cubic root of 14378064 is about 243.1644807603.

The spelling of 14378064 in words is "fourteen million, three hundred seventy-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 118 177 236 354 472 708 944 1416 2832 5077 10154 15231 20308 30462 40616 60924 81232 121848 243696 299543 599086 898629 1198172 1797258 2396344 3594516 4792688 7189032 14378064