344064 has 60 divisors (see below), whose sum is σ = 1048544. Its totient is φ = 98304.

The previous prime is 344053. The next prime is 344083. The reversal of 344064 is 460443.

344064 = T₂₇₂ + T₂₇₃ + ... + T₂₈₀.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 4 and base 16.

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 344064.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 344064.

It is an unprimeable number.

344064 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 49149 + ... + 49155.

2³⁴⁴⁰⁶⁴ 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 344064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524272).

344064 is an abundant number, since it is smaller than the sum of its proper divisors (704480).

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

344064 is an frugal number, since it uses more digits than its factorization.

344064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 344064 is about 586.5696889543. The cubic root of 344064 is about 70.0723062382.

Multiplying 344064 by its sum of digits (21), we get a square (7225344 = 2688²).

344064 divided by its sum of digits (21) gives a 14-th power (16384 = 2¹⁴).

The spelling of 344064 in words is "three hundred forty-four thousand, sixty-four".