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14940384 = 253198191
BaseRepresentation
bin111000111111…
…100011100000
31001010001100120
4320333203200
512311043014
61252120240
7240663654
oct70774340
931101316
1014940384
118484a28
125006080
133131484
141daca64
1514a1ba9
hexe3f8e0

14940384 has 48 divisors (see below), whose sum is σ = 41287680. Its totient is φ = 4717440.

The previous prime is 14940371. The next prime is 14940389. The reversal of 14940384 is 48304941.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14940389) 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, 2272 + ... + 5919.

It is an arithmetic number, because the mean of its divisors is an integer number (860160).

Almost surely, 214940384 is an apocalyptic number.

It is an amenable number.

14940384 is an abundant number, since it is smaller than the sum of its proper divisors (26347296).

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

14940384 is a wasteful number, since it uses less digits than its factorization.

14940384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8223 (or 8215 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 14940384 is about 3865.2792913320. The cubic root of 14940384 is about 246.2940498555.

The spelling of 14940384 in words is "fourteen million, nine hundred forty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 8191 16382 24573 32764 49146 65528 98292 131056 155629 196584 262112 311258 393168 466887 622516 786336 933774 1245032 1867548 2490064 3735096 4980128 7470192 14940384