311421000 has 128 divisors (see below), whose sum is σ = 1060076160. Its totient is φ = 75488000.

The previous prime is 311420999. The next prime is 311421017. The reversal of 311421000 is 124113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28282 + ... + 37718.

It is an arithmetic number, because the mean of its divisors is an integer number (8281845).

Almost surely, 2^311421000 is an apocalyptic number.

311421000 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 311421000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530038080).

311421000 is an abundant number, since it is smaller than the sum of its proper divisors (748655160).

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

311421000 is a wasteful number, since it uses less digits than its factorization.

311421000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9472 (or 9458 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 311421000 is about 17647.1244116428. The cubic root of 311421000 is about 677.8224750799.

Adding to 311421000 its reverse (124113), we get a palindrome (311545113).

The spelling of 311421000 in words is "three hundred eleven million, four hundred twenty-one thousand".