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311321004 = 2231910912527
BaseRepresentation
bin10010100011100…
…110000110101100
3210200210202010120
4102203212012230
51114144233004
650520404540
710500120261
oct2243460654
9720722116
10311321004
1114a807095
1288316750
134c662a17
142d4bd268
151c4e83d9
hex128e61ac

311321004 has 48 divisors (see below), whose sum is σ = 771724800. Its totient is φ = 97402176.

The previous prime is 311320991. The next prime is 311321011. The reversal of 311321004 is 400123113.

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 15 ways as a sum of consecutive naturals, for example, 18589 + ... + 31115.

It is an arithmetic number, because the mean of its divisors is an integer number (16077600).

Almost surely, 2311321004 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 311321004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385862400).

311321004 is an abundant number, since it is smaller than the sum of its proper divisors (460403796).

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

311321004 is a wasteful number, since it uses less digits than its factorization.

311321004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12662 (or 12660 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 311321004 is about 17644.2909747034. The cubic root of 311321004 is about 677.7499186455.

Adding to 311321004 its reverse (400123113), we get a palindrome (711444117).

The spelling of 311321004 in words is "three hundred eleven million, three hundred twenty-one thousand, four".

Divisors: 1 2 3 4 6 12 19 38 57 76 109 114 218 228 327 436 654 1308 2071 4142 6213 8284 12426 12527 24852 25054 37581 50108 75162 150324 238013 476026 714039 952052 1365443 1428078 2730886 2856156 4096329 5461772 8192658 16385316 25943417 51886834 77830251 103773668 155660502 311321004