34164270 has 144 divisors (see below), whose sum is σ = 105850368. Its totient is φ = 7620480.

The previous prime is 34164259. The next prime is 34164287. The reversal of 34164270 is 7246143.

34164270 = 246² + 247² + ... + 489².

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 268947 + ... + 269073.

It is an arithmetic number, because the mean of its divisors is an integer number (735072).

Almost surely, 2^34164270 is an apocalyptic number.

34164270 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 34164270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52925184).

34164270 is an abundant number, since it is smaller than the sum of its proper divisors (71686098).

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

34164270 is a wasteful number, since it uses less digits than its factorization.

34164270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 34164270 is about 5845.0209580463. The cubic root of 34164270 is about 324.4820784292.

The spelling of 34164270 in words is "thirty-four million, one hundred sixty-four thousand, two hundred seventy".