340124064 has 192 divisors, whose sum is σ = 1091543040. Its totient is φ = 90639360.

The previous prime is 340124063. The next prime is 340124089. The reversal of 340124064 is 460421043.

340124064 = T₂₈₁ + T₂₈₂ + ... + T₁₂₇₂.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (340124063) 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 31 ways as a sum of consecutive naturals, for example, 603847 + ... + 604409.

It is an arithmetic number, because the mean of its divisors is an integer number (5685120).

Almost surely, 2^340124064 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 340124064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545771520).

340124064 is an abundant number, since it is smaller than the sum of its proper divisors (751418976).

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

340124064 is a wasteful number, since it uses less digits than its factorization.

340124064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 340124064 is about 18442.4527652913. The cubic root of 340124064 is about 698.0380873736.

The spelling of 340124064 in words is "three hundred forty million, one hundred twenty-four thousand, sixty-four".