321401340 has 144 divisors (see below), whose sum is σ = 1105322400. Its totient is φ = 74939904.

The previous prime is 321401329. The next prime is 321401341. The reversal of 321401340 is 43104123.

321401340 is a `hidden beast` number, since 321 + 4 + 0 + 1 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321401341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40846 + ... + 48074.

It is an arithmetic number, because the mean of its divisors is an integer number (7675850).

Almost surely, 2^321401340 is an apocalyptic number.

321401340 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 321401340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552661200).

321401340 is an abundant number, since it is smaller than the sum of its proper divisors (783921060).

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

321401340 is a wasteful number, since it uses less digits than its factorization.

321401340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7276 (or 7271 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 321401340 is about 17927.6696756717. The cubic root of 321401340 is about 684.9873654586.

Adding to 321401340 its reverse (43104123), we get a palindrome (364505463).

The spelling of 321401340 in words is "three hundred twenty-one million, four hundred one thousand, three hundred forty".