34012224 has 91 divisors (see below), whose sum is σ = 101239447. Its totient is φ = 11337408.

The previous prime is 34012219. The next prime is 34012229. The reversal of 34012224 is 42221043.

The square root of 34012224 is 5832.

The cubic root of 34012224 is 324.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (34012219) and next prime (34012229).

It is an ABA number since it can be written as A⋅B^A, here for A=4, B=54.

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

It is a Duffinian number.

It is a nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 34012197 and 34012206.

It is not an unprimeable number, because it can be changed into a prime (34012229) by changing a digit.

It is a polite number, since it can be written in 12 ways as a sum of consecutive naturals, for example, 11337407 + 11337408 + 11337409.

Almost surely, 2^34012224 is an apocalyptic number.

34012224 is the 5832-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34012224

34012224 is an abundant number, since it is smaller than the sum of its proper divisors (67227223).

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

34012224 is an frugal number, since it uses more digits than its factorization.

34012224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 5 counting only the distinct ones).

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

Multiplying 34012224 by its sum of digits (18), we get a 7-th power (612220032 = 18⁷).

34012224 divided by its sum of digits (18) gives a 5-th power (1889568 = 18⁵).

Multiplying 34012224 by its product of nonzero digits (384), we get a 13-th power (13060694016 = 6¹³).

Adding to 34012224 its reverse (42221043), we get a palindrome (76233267).

It can be divided in two parts, 3401 and 2224, that added together give a square (5625 = 75²).

The spelling of 34012224 in words is "thirty-four million, twelve thousand, two hundred twenty-four".