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1331304 = 2331317251
BaseRepresentation
bin101000101000001101000
32111122012120
411011001220
5320100204
644311240
714213232
oct5050150
92448176
101331304
1182a257
12542520
13377c70
14269252
151b46d9
hex145068

1331304 has 64 divisors (see below), whose sum is σ = 3810240. Its totient is φ = 384000.

The previous prime is 1331299. The next prime is 1331327. The reversal of 1331304 is 4031331.

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5179 + ... + 5429.

It is an arithmetic number, because the mean of its divisors is an integer number (59535).

21331304 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 1331304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1905120).

1331304 is an abundant number, since it is smaller than the sum of its proper divisors (2478936).

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

1331304 is a wasteful number, since it uses less digits than its factorization.

1331304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 1331304 is about 1153.8214766592. The cubic root of 1331304 is about 110.0083740181.

Adding to 1331304 its reverse (4031331), we get a palindrome (5362635).

The spelling of 1331304 in words is "one million, three hundred thirty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 204 221 251 312 408 442 502 663 753 884 1004 1326 1506 1768 2008 2652 3012 3263 4267 5304 6024 6526 8534 9789 12801 13052 17068 19578 25602 26104 34136 39156 51204 55471 78312 102408 110942 166413 221884 332826 443768 665652 1331304