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14480384 = 21079179
BaseRepresentation
bin110111001111…
…010000000000
31000020200100112
4313033100000
512201333014
61234210452
7234036602
oct67172000
930220315
1014480384
1181a0366
124a23a28
132cccc99
141ccd172
15141073e
hexdcf400

14480384 has 44 divisors (see below), whose sum is σ = 29476800. Its totient is φ = 7108608.

The previous prime is 14480383. The next prime is 14480387. The reversal of 14480384 is 48308441.

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 14480384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14480381) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 80807 + ... + 80985.

Almost surely, 214480384 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 14480384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14738400).

14480384 is an abundant number, since it is smaller than the sum of its proper divisors (14996416).

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

14480384 is an equidigital number, since it uses as much as digits as its factorization.

14480384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 14480384 is about 3805.3099742334. The cubic root of 14480384 is about 243.7399361175.

The spelling of 14480384 in words is "fourteen million, four hundred eighty thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 79 128 158 179 256 316 358 512 632 716 1024 1264 1432 2528 2864 5056 5728 10112 11456 14141 20224 22912 28282 40448 45824 56564 80896 91648 113128 183296 226256 452512 905024 1810048 3620096 7240192 14480384