14434020 has 144 divisors (see below), whose sum is σ = 47764080. Its totient is φ = 3514368.

The previous prime is 14433997. The next prime is 14434031. The reversal of 14434020 is 2043441.

It can be written as a sum of positive squares in 8 ways, for example, as 9216 + 14424804 = 96^2 + 3798^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 14433984 and 14434002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 162136 + ... + 162224.

It is an arithmetic number, because the mean of its divisors is an integer number (331695).

Almost surely, 2^14434020 is an apocalyptic number.

14434020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14434020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23882040).

14434020 is an abundant number, since it is smaller than the sum of its proper divisors (33330060).

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

14434020 is a wasteful number, since it uses less digits than its factorization.

14434020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 14434020 is about 3799.2130764146. The cubic root of 14434020 is about 243.4795185069.

Adding to 14434020 its reverse (2043441), we get a palindrome (16477461).

The spelling of 14434020 in words is "fourteen million, four hundred thirty-four thousand, twenty".