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14376144 = 243535651
BaseRepresentation
bin110110110101…
…110011010000
31000001101100210
4312311303100
512140014034
61232044120
7233123646
oct66656320
930041323
1014376144
11812a012
124993640
132c946c3
141ca3196
1513de8e9
hexdb5cd0

14376144 has 40 divisors (see below), whose sum is σ = 37845792. Its totient is φ = 4700800.

The previous prime is 14376143. The next prime is 14376149. The reversal of 14376144 is 44167341.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14376143) 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 7 ways as a sum of consecutive naturals, for example, 282 + ... + 5369.

Almost surely, 214376144 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 14376144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18922896).

14376144 is an abundant number, since it is smaller than the sum of its proper divisors (23469648).

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

14376144 is a wasteful number, since it uses less digits than its factorization.

14376144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5715 (or 5709 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 14376144 is about 3791.5885852766. The cubic root of 14376144 is about 243.1536564799.

The spelling of 14376144 in words is "fourteen million, three hundred seventy-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 212 318 424 636 848 1272 2544 5651 11302 16953 22604 33906 45208 67812 90416 135624 271248 299503 599006 898509 1198012 1797018 2396024 3594036 4792048 7188072 14376144