34300224 has 168 divisors, whose sum is σ = 115385088. Its totient is φ = 9538560.

The previous prime is 34300223. The next prime is 34300289. The reversal of 34300224 is 42200343.

It is a tau number, because it is divible by the number of its divisors (168).

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 = 34300197 and 34300206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34300223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189414 + ... + 189594.

It is an arithmetic number, because the mean of its divisors is an integer number (686816).

Almost surely, 2^34300224 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 34300224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57692544).

34300224 is an abundant number, since it is smaller than the sum of its proper divisors (81084864).

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

34300224 is a wasteful number, since it uses less digits than its factorization.

34300224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 34300224 is about 5856.6393093651. The cubic root of 34300224 is about 324.9119256411.

Adding to 34300224 its reverse (42200343), we get a palindrome (76500567).

The spelling of 34300224 in words is "thirty-four million, three hundred thousand, two hundred twenty-four".