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14484 = 2231771
BaseRepresentation
bin11100010010100
3201212110
43202110
5430414
6151020
760141
oct34224
921773
1014484
11a978
128470
136792
1453c8
154459
hex3894

14484 has 24 divisors (see below), whose sum is σ = 36288. Its totient is φ = 4480.

The previous prime is 14479. The next prime is 14489. The reversal of 14484 is 48441.

It is an interprime number because it is at equal distance from previous prime (14479) and next prime (14489).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 14484.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14489) by changing a digit.

14484 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 169 + ... + 239.

It is an arithmetic number, because the mean of its divisors is an integer number (1512).

214484 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 14484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18144).

14484 is an abundant number, since it is smaller than the sum of its proper divisors (21804).

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

14484 is a wasteful number, since it uses less digits than its factorization.

14484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 93 counting only the distinct ones).

The product of its digits is 512, while the sum is 21.

The square root of 14484 is about 120.3494910666. The cubic root of 14484 is about 24.3760223108.

It can be divided in two parts, 14 and 484, that multiplied together give a palindrome (6776).

The spelling of 14484 in words is "fourteen thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 71 102 142 204 213 284 426 852 1207 2414 3621 4828 7242 14484