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14684416 = 28193019
BaseRepresentation
bin111000000001…
…000100000000
31000122001020021
4320001010000
512224400131
61242423224
7235546465
oct70010400
930561207
1014684416
11831a68a
124b01b14
133071b06
141d4366c
151450e11
hexe01100

14684416 has 36 divisors (see below), whose sum is σ = 30864400. Its totient is φ = 6953472.

The previous prime is 14684393. The next prime is 14684429. The reversal of 14684416 is 61448641.

It is a super-2 number, since 2×146844162 = 431264146522112, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3355 + ... + 6373.

Almost surely, 214684416 is an apocalyptic number.

14684416 is a gapful number since it is divisible by the number (16) 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 14684416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15432200).

14684416 is an abundant number, since it is smaller than the sum of its proper divisors (16179984).

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

14684416 is an equidigital number, since it uses as much as digits as its factorization.

14684416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3054 (or 3040 counting only the distinct ones).

The product of its digits is 18432, while the sum is 34.

The square root of 14684416 is about 3832.0250521102. The cubic root of 14684416 is about 244.8793853064.

The spelling of 14684416 in words is "fourteen million, six hundred eighty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 608 1216 2432 3019 4864 6038 12076 24152 48304 57361 96608 114722 193216 229444 386432 458888 772864 917776 1835552 3671104 7342208 14684416