350309190 has 128 divisors (see below), whose sum is σ = 1056706560. Its totient is φ = 72201600.

The previous prime is 350309149. The next prime is 350309203. The reversal of 350309190 is 91903053.

It is a super-2 number, since 2×350309190² = 245433057196912200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 320545 + ... + 321635.

It is an arithmetic number, because the mean of its divisors is an integer number (8255520).

Almost surely, 2^350309190 is an apocalyptic number.

350309190 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 350309190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528353280).

350309190 is an abundant number, since it is smaller than the sum of its proper divisors (706397370).

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

350309190 is a wasteful number, since it uses less digits than its factorization.

350309190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258.

The product of its (nonzero) digits is 3645, while the sum is 30.

The square root of 350309190 is about 18716.5485600310. The cubic root of 350309190 is about 704.9373315856.

The spelling of 350309190 in words is "three hundred fifty million, three hundred nine thousand, one hundred ninety".