34254090 has 80 divisors (see below), whose sum is σ = 99220968. Its totient is φ = 8429184.

The previous prime is 34254079. The next prime is 34254091. The reversal of 34254090 is 9045243.

34254090 is a `hidden beast` number, since 34 + 2 + 540 + 90 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 31236921 + 3017169 = 5589^2 + 1737^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (34254091) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8904 + ... + 12156.

Almost surely, 2^34254090 is an apocalyptic number.

34254090 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 34254090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49610484).

34254090 is an abundant number, since it is smaller than the sum of its proper divisors (64966878).

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

34254090 is a wasteful number, since it uses less digits than its factorization.

34254090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3285 (or 3276 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 34254090 is about 5852.6993772105. The cubic root of 34254090 is about 324.7661908093.

The spelling of 34254090 in words is "thirty-four million, two hundred fifty-four thousand, ninety".