334307820 has 144 divisors (see below), whose sum is σ = 1171392768. Its totient is φ = 69208320.

The previous prime is 334307819. The next prime is 334307833. The reversal of 334307820 is 28703433.

It is a super-2 number, since 2×334307820² = 223523437026304800, 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1242646 + ... + 1242914.

It is an arithmetic number, because the mean of its divisors is an integer number (8134672).

Almost surely, 2^334307820 is an apocalyptic number.

334307820 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 334307820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585696384).

334307820 is an abundant number, since it is smaller than the sum of its proper divisors (837084948).

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

334307820 is a wasteful number, since it uses less digits than its factorization.

334307820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 334307820 is about 18284.0865235319. The cubic root of 334307820 is about 694.0362883023.

The spelling of 334307820 in words is "three hundred thirty-four million, three hundred seven thousand, eight hundred twenty".