334363140 has 336 divisors, whose sum is σ = 1189883520. Its totient is φ = 78382080.

The previous prime is 334363111. The next prime is 334363147. The reversal of 334363140 is 41363433.

334363140 is a `hidden beast` number, since 3 + 343 + 6 + 314 + 0 = 666.

It is a super-2 number, since 2×334363140² = 223597418781319200, which contains 22 as substring.

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 (334363147) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4709305 + ... + 4709375.

It is an arithmetic number, because the mean of its divisors is an integer number (3541320).

Almost surely, 2^334363140 is an apocalyptic number.

334363140 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 334363140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594941760).

334363140 is an abundant number, since it is smaller than the sum of its proper divisors (855520380).

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

334363140 is a wasteful number, since it uses less digits than its factorization.

334363140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 334363140 is about 18285.5992518703. The cubic root of 334363140 is about 694.0745683620.

The spelling of 334363140 in words is "three hundred thirty-four million, three hundred sixty-three thousand, one hundred forty".