321404034 has 64 divisors (see below), whose sum is σ = 762624000. Its totient is φ = 90239184.

The previous prime is 321404033. The next prime is 321404051. The reversal of 321404034 is 430404123.

It is a super-3 number, since 3×321404034³ (a number of 26 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 321404034.

It is not an unprimeable number, because it can be changed into a prime (321404033) 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, 120099 + ... + 122745.

It is an arithmetic number, because the mean of its divisors is an integer number (11916000).

Almost surely, 2^321404034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321404034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381312000).

321404034 is an abundant number, since it is smaller than the sum of its proper divisors (441219966).

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

321404034 is a wasteful number, since it uses less digits than its factorization.

321404034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2732 (or 2718 counting only the distinct ones).

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

The square root of 321404034 is about 17927.7448107675. The cubic root of 321404034 is about 684.9892793179.

Adding to 321404034 its reverse (430404123), we get a palindrome (751808157).

The spelling of 321404034 in words is "three hundred twenty-one million, four hundred four thousand, thirty-four".