34253100 has 108 divisors (see below), whose sum is σ = 122724784. Its totient is φ = 7827840.

The previous prime is 34253071. The next prime is 34253101. The reversal of 34253100 is 135243.

It is a super-2 number, since 2×34253100² = 2346549719220000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (34253101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3582 + ... + 9018.

Almost surely, 2^34253100 is an apocalyptic number.

34253100 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 34253100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61362392).

34253100 is an abundant number, since it is smaller than the sum of its proper divisors (88471684).

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

34253100 is a wasteful number, since it uses less digits than its factorization.

34253100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5464 (or 5454 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 34253100 is about 5852.6148002410. The cubic root of 34253100 is about 324.7630620187.

Adding to 34253100 its reverse (135243), we get a palindrome (34388343).

The spelling of 34253100 in words is "thirty-four million, two hundred fifty-three thousand, one hundred".