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23484 = 22319103
BaseRepresentation
bin101101110111100
31012012210
411232330
51222414
6300420
7125316
oct55674
935183
1023484
111670a
1211710
13a8c6
1487b6
156e59
hex5bbc

23484 has 24 divisors (see below), whose sum is σ = 58240. Its totient is φ = 7344.

The previous prime is 23473. The next prime is 23497. The reversal of 23484 is 48432.

It is a happy number.

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

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 23484.

It is a congruent number.

It is an unprimeable number.

23484 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, 177 + ... + 279.

223484 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 23484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29120).

23484 is an abundant number, since it is smaller than the sum of its proper divisors (34756).

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

23484 is a wasteful number, since it uses less digits than its factorization.

23484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 127 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 23484 is about 153.2449020359. The cubic root of 23484 is about 28.6367695034.

It can be divided in two parts, 2 and 3484, that added together give a triangular number (3486 = T83).

The spelling of 23484 in words is "twenty-three thousand, four hundred eighty-four".