16434 has 24 divisors (see below), whose sum is σ = 39312. Its totient is φ = 4920.

The previous prime is 16433. The next prime is 16447. The reversal of 16434 is 43461.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 1 + 6 + 4² + 3³ + 4⁷ .

It is a Curzon number.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (16433) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 157 + ... + 239.

It is an arithmetic number, because the mean of its divisors is an integer number (1638).

2¹⁶⁴³⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19656).

16434 is an abundant number, since it is smaller than the sum of its proper divisors (22878).

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

16434 is a wasteful number, since it uses less digits than its factorization.

16434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 99 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 16434 is about 128.1951637153. The cubic root of 16434 is about 25.4242271993.

Adding to 16434 its reverse (43461), we get a palindrome (59895).

The spelling of 16434 in words is "sixteen thousand, four hundred thirty-four".