340744320 has 384 divisors, whose sum is σ = 1398983040. Its totient is φ = 77635584.

The previous prime is 340744307. The next prime is 340744361. The reversal of 340744320 is 23447043.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×340744320² = 232213383224524800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1088484 + ... + 1088796.

It is an arithmetic number, because the mean of its divisors is an integer number (3643185).

Almost surely, 2^340744320 is an apocalyptic number.

340744320 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 340744320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699491520).

340744320 is an abundant number, since it is smaller than the sum of its proper divisors (1058238720).

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

340744320 is an equidigital number, since it uses as much as digits as its factorization.

340744320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 340744320 is about 18459.2610903037. The cubic root of 340744320 is about 698.4621477271.

The spelling of 340744320 in words is "three hundred forty million, seven hundred forty-four thousand, three hundred twenty".