34153440 has 48 divisors (see below), whose sum is σ = 107584848. Its totient is φ = 9107456.

The previous prime is 34153429. The next prime is 34153447. The reversal of 34153440 is 4435143.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 34153440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34153447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35097 + ... + 36056.

It is an arithmetic number, because the mean of its divisors is an integer number (2241351).

Almost surely, 2^34153440 is an apocalyptic number.

34153440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34153440 is an abundant number, since it is smaller than the sum of its proper divisors (73431408).

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

34153440 is a wasteful number, since it uses less digits than its factorization.

34153440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71171 (or 71163 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 34153440 is about 5844.0944550888. The cubic root of 34153440 is about 324.4477880990.

Adding to 34153440 its reverse (4435143), we get a palindrome (38588583).

The spelling of 34153440 in words is "thirty-four million, one hundred fifty-three thousand, four hundred forty".