34290 has 32 divisors (see below), whose sum is σ = 92160. Its totient is φ = 9072.

The previous prime is 34283. The next prime is 34297. The reversal of 34290 is 9243.

34290 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (34283) and next prime (34297).

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

It is a d-powerful number, because it can be written as 3⁶ + 4³ + 2¹⁵ + 9³ + 0 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34297) by changing a digit.

34290 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207 + ... + 333.

It is an arithmetic number, because the mean of its divisors is an integer number (2880).

2³⁴²⁹⁰ is an apocalyptic number.

34290 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46080).

34290 is an abundant number, since it is smaller than the sum of its proper divisors (57870).

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

34290 is a wasteful number, since it uses less digits than its factorization.

34290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 34290 is about 185.1755923441. The cubic root of 34290 is about 32.4879639850.

It can be divided in two parts, 34 and 290, that added together give a square (324 = 18²).

The spelling of 34290 in words is "thirty-four thousand, two hundred ninety".