344065401 has 27 divisors (see below), whose sum is σ = 518335311. Its totient is φ = 228375288.

The previous prime is 344065391. The next prime is 344065411. The reversal of 344065401 is 104560443.

The square root of 344065401 is 18549.

It is a perfect power (a square), and thus also a powerful number.

344065401 is a `hidden beast` number, since 3 + 4 + 4 + 0 + 654 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (344065391) and next prime (344065411).

It can be written as a sum of positive squares in only one way, i.e., 320445801 + 23619600 = 17901^2 + 4860^2 .

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 344065401 - 2¹¹ = 344063353 is a prime.

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 (344065411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1502355 + ... + 1502583.

Almost surely, 2^344065401 is an apocalyptic number.

344065401 is the 18549-th square number.

344065401 is the 9275-th centered octagonal number.

It is an amenable number.

344065401 is a deficient number, since it is larger than the sum of its proper divisors (174269910).

344065401 is an frugal number, since it uses more digits than its factorization.

344065401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The cubic root of 344065401 is about 700.7240134761.

The spelling of 344065401 in words is "three hundred forty-four million, sixty-five thousand, four hundred one".