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14378144 = 251140847
BaseRepresentation
bin110110110110…
…010010100000
31000001111002212
4312312102200
512140100034
61232101252
7233132534
oct66662240
930044085
1014378144
118130570
124994828
132c955a1
141ca3bc4
1513e02ce
hexdb64a0

14378144 has 24 divisors (see below), whose sum is σ = 30881088. Its totient is φ = 6535360.

The previous prime is 14378101. The next prime is 14378159. The reversal of 14378144 is 44187341.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 14378144.

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 3 ways as a sum of consecutive naturals, for example, 20072 + ... + 20775.

It is an arithmetic number, because the mean of its divisors is an integer number (1286712).

Almost surely, 214378144 is an apocalyptic number.

It is an amenable number.

14378144 is an abundant number, since it is smaller than the sum of its proper divisors (16502944).

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

14378144 is a wasteful number, since it uses less digits than its factorization.

14378144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40868 (or 40860 counting only the distinct ones).

The product of its digits is 10752, while the sum is 32.

The square root of 14378144 is about 3791.8523177993. The cubic root of 14378144 is about 243.1649317511.

It can be divided in two parts, 143 and 78144, that added together give a palindrome (78287).

The spelling of 14378144 in words is "fourteen million, three hundred seventy-eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 40847 81694 163388 326776 449317 653552 898634 1307104 1797268 3594536 7189072 14378144