21434700 has 144 divisors (see below), whose sum is σ = 72495360. Its totient is φ = 4788480.

The previous prime is 21434681. The next prime is 21434719. The reversal of 21434700 is 743412.

It is an interprime number because it is at equal distance from previous prime (21434681) and next prime (21434719).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 123814 + ... + 123986.

It is an arithmetic number, because the mean of its divisors is an integer number (503440).

Almost surely, 2^21434700 is an apocalyptic number.

21434700 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 21434700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36247680).

21434700 is an abundant number, since it is smaller than the sum of its proper divisors (51060660).

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

21434700 is a wasteful number, since it uses less digits than its factorization.

21434700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 21434700 is about 4629.7624129106. The cubic root of 21434700 is about 277.7830890836.

The spelling of 21434700 in words is "twenty-one million, four hundred thirty-four thousand, seven hundred".