334975104 has 96 divisors (see below), whose sum is σ = 968046300. Its totient is φ = 111181824.

The previous prime is 334975099. The next prime is 334975129. The reversal of 334975104 is 401579433.

It can be written as a sum of positive squares in 2 ways, for example, as 203918400 + 131056704 = 14280^2 + 11448^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×334975104² = 224416640599621632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 360112 + ... + 361040.

Almost surely, 2^334975104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334975104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484023150).

334975104 is an abundant number, since it is smaller than the sum of its proper divisors (633071196).

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

334975104 is a wasteful number, since it uses less digits than its factorization.

334975104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 334975104 is about 18302.3250981945. The cubic root of 334975104 is about 694.4977507558.

The spelling of 334975104 in words is "three hundred thirty-four million, nine hundred seventy-five thousand, one hundred four".