340162272 has 144 divisors (see below), whose sum is σ = 1022505120. Its totient is φ = 107053056.

The previous prime is 340162271. The next prime is 340162279. The reversal of 340162272 is 272261043.

340162272 is a `hidden beast` number, since 34 + 0 + 1 + 622 + 7 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340162271) 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, 589248 + ... + 589824.

It is an arithmetic number, because the mean of its divisors is an integer number (7100730).

Almost surely, 2^340162272 is an apocalyptic number.

340162272 is a gapful number since it is divisible by the number (32) 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 340162272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511252560).

340162272 is an abundant number, since it is smaller than the sum of its proper divisors (682342848).

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

340162272 is a wasteful number, since it uses less digits than its factorization.

340162272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 340162272 is about 18443.4886070938. The cubic root of 340162272 is about 698.0642245428.

The spelling of 340162272 in words is "three hundred forty million, one hundred sixty-two thousand, two hundred seventy-two".