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321331340 = 225114493253
BaseRepresentation
bin10011001001110…
…010000010001100
3211101122022201202
4103021302002030
51124230100330
651515125032
710651162031
oct2311620214
9741568652
10321331340
11155423aa0
128b743778
13517591b5
1430967388
151d324445
hex1327208c

321331340 has 48 divisors (see below), whose sum is σ = 738007200. Its totient is φ = 116551680.

The previous prime is 321331319. The next prime is 321331343. The reversal of 321331340 is 43133123.

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 (321331343) 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 15 ways as a sum of consecutive naturals, for example, 97154 + ... + 100406.

It is an arithmetic number, because the mean of its divisors is an integer number (15375150).

Almost surely, 2321331340 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 321331340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369003600).

321331340 is an abundant number, since it is smaller than the sum of its proper divisors (416675860).

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

321331340 is a wasteful number, since it uses less digits than its factorization.

321331340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3722 (or 3720 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 321331340 is about 17925.7172799305. The cubic root of 321331340 is about 684.9376326261.

Adding to 321331340 its reverse (43133123), we get a palindrome (364464463).

The spelling of 321331340 in words is "three hundred twenty-one million, three hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 449 898 1796 2245 3253 4490 4939 6506 8980 9878 13012 16265 19756 24695 32530 35783 49390 65060 71566 98780 143132 178915 357830 715660 1460597 2921194 5842388 7302985 14605970 16066567 29211940 32133134 64266268 80332835 160665670 321331340