34233120 has 72 divisors (see below), whose sum is σ = 116825436. Its totient is φ = 9128448.

The previous prime is 34233119. The next prime is 34233127. The reversal of 34233120 is 2133243.

It can be written as a sum of positive squares in 2 ways, for example, as 32764176 + 1468944 = 5724^2 + 1212^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 = 34233093 and 34233102.

It is not an unprimeable number, because it can be changed into a prime (34233127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10447 + ... + 13326.

Almost surely, 2^34233120 is an apocalyptic number.

34233120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34233120 is an abundant number, since it is smaller than the sum of its proper divisors (82592316).

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

34233120 is a wasteful number, since it uses less digits than its factorization.

34233120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23794 (or 23783 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 34233120 is about 5850.9076218994. The cubic root of 34233120 is about 324.6999044453.

Adding to 34233120 its reverse (2133243), we get a palindrome (36366363).

The spelling of 34233120 in words is "thirty-four million, two hundred thirty-three thousand, one hundred twenty".