334973106 has 48 divisors (see below), whose sum is σ = 784719936. Its totient is φ = 102657888.

The previous prime is 334973077. The next prime is 334973123. The reversal of 334973106 is 601379433.

334973106 is a `hidden beast` number, since 334 + 9 + 7 + 310 + 6 = 666.

It is a super-2 number, since 2×334973106² = 224413963486574472, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58821 + ... + 64263.

It is an arithmetic number, because the mean of its divisors is an integer number (16348332).

Almost surely, 2^334973106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334973106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392359968).

334973106 is an abundant number, since it is smaller than the sum of its proper divisors (449746830).

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

334973106 is a wasteful number, since it uses less digits than its factorization.

334973106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5727 (or 5724 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 334973106 is about 18302.2705148842. The cubic root of 334973106 is about 694.4963699475.

The spelling of 334973106 in words is "three hundred thirty-four million, nine hundred seventy-three thousand, one hundred six".