34253040 has 120 divisors (see below), whose sum is σ = 110649168. Its totient is φ = 8760320.

The previous prime is 34252993. The next prime is 34253041. The reversal of 34253040 is 4035243.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 34252998 and 34253016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34253041) 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, 580531 + ... + 580589.

Almost surely, 2^34253040 is an apocalyptic number.

34253040 is a gapful number since it is divisible by the number (30) 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 34253040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55324584).

34253040 is an abundant number, since it is smaller than the sum of its proper divisors (76396128).

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

34253040 is a wasteful number, since it uses less digits than its factorization.

34253040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 34253040 is about 5852.6096743248. The cubic root of 34253040 is about 324.7628723931.

Adding to 34253040 its reverse (4035243), we get a palindrome (38288283).

The spelling of 34253040 in words is "thirty-four million, two hundred fifty-three thousand, forty".