21434000 has 80 divisors (see below), whose sum is σ = 59270016. Its totient is φ = 7344000.

The previous prime is 21433981. The next prime is 21434027. The reversal of 21434000 is 43412.

21434000 = 191² + 192² + ... + 414².

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13235 + ... + 14765.

Almost surely, 2^21434000 is an apocalyptic number.

21434000 is a gapful number since it is divisible by the number (20) 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 21434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29635008).

21434000 is an abundant number, since it is smaller than the sum of its proper divisors (37836016).

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

21434000 is a wasteful number, since it uses less digits than its factorization.

21434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1561 (or 1545 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 21434000 is about 4629.6868144616. The cubic root of 21434000 is about 277.7800651663.

Adding to 21434000 its reverse (43412), we get a palindrome (21477412).

The spelling of 21434000 in words is "twenty-one million, four hundred thirty-four thousand".