340320314000 has 160 divisors (see below), whose sum is σ = 887744403936. Its totient is φ = 125702553600.

The previous prime is 340320313961. The next prime is 340320314003. The reversal of 340320314000 is 413023043.

It can be written as a sum of positive squares in 16 ways, for example, as 164225941504 + 176094372496 = 405248^2 + 419636^2 .

It is a super-2 number, since 2×340320314000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (340320314003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1707572 + ... + 1896428.

Almost surely, 2^340320314000 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 340320314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443872201968).

340320314000 is an abundant number, since it is smaller than the sum of its proper divisors (547424089936).

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

340320314000 is a wasteful number, since it uses less digits than its factorization.

340320314000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188950 (or 188934 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 340320314000 its reverse (413023043), we get a palindrome (340733337043).

The spelling of 340320314000 in words is "three hundred forty billion, three hundred twenty million, three hundred fourteen thousand".