34254000 has 240 divisors, whose sum is σ = 131268384. Its totient is φ = 8256000.

The previous prime is 34253993. The next prime is 34254007. The reversal of 34254000 is 45243.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34253993) and next prime (34254007).

It is a tau number, because it is divible by the number of its divisors (240).

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 (34254007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 197914 + ... + 198086.

Almost surely, 2^34254000 is an apocalyptic number.

34254000 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 34254000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65634192).

34254000 is an abundant number, since it is smaller than the sum of its proper divisors (97014384).

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

34254000 is a wasteful number, since it uses less digits than its factorization.

34254000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 34254000 is about 5852.6916884456. The cubic root of 34254000 is about 324.7659063763.

Adding to 34254000 its reverse (45243), we get a palindrome (34299243).

The spelling of 34254000 in words is "thirty-four million, two hundred fifty-four thousand".