334686240 has 144 divisors (see below), whose sum is σ = 1305315648. Its totient is φ = 76497408.

The previous prime is 334686221. The next prime is 334686241. The reversal of 334686240 is 42686433.

It is a happy number.

334686240 is a `hidden beast` number, since 334 + 6 + 86 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×334686240² = 224029758490675200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 334686195 and 334686204.

It is not an unprimeable number, because it can be changed into a prime (334686241) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6522 + ... + 26681.

It is an arithmetic number, because the mean of its divisors is an integer number (9064692).

Almost surely, 2^334686240 is an apocalyptic number.

334686240 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 334686240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652657824).

334686240 is an abundant number, since it is smaller than the sum of its proper divisors (970629408).

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

334686240 is a wasteful number, since it uses less digits than its factorization.

334686240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33231 (or 33220 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 334686240 is about 18294.4319398007. The cubic root of 334686240 is about 694.2980611967.

The spelling of 334686240 in words is "three hundred thirty-four million, six hundred eighty-six thousand, two hundred forty".