34302000 has 80 divisors (see below), whose sum is σ = 110608992. Its totient is φ = 9145600.

The previous prime is 34301989. The next prime is 34302029. The reversal of 34302000 is 20343.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3142 + ... + 8858.

Almost surely, 2^34302000 is an apocalyptic number.

34302000 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 34302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55304496).

34302000 is an abundant number, since it is smaller than the sum of its proper divisors (76306992).

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

34302000 is a wasteful number, since it uses less digits than its factorization.

34302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5743 (or 5727 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 34302000 is about 5856.7909301938. The cubic root of 34302000 is about 324.9175333170.

Adding to 34302000 its reverse (20343), we get a palindrome (34322343).

The spelling of 34302000 in words is "thirty-four million, three hundred two thousand".