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1330332344 = 2311103317463
BaseRepresentation
bin100111101001011…
…0100001010111000
310102201020212220022
41033102310022320
510211031113334
6340001350012
744652431645
oct11722641270
93381225808
101330332344
11622a35420
12311638308
131827c8303
14c8978dcc
157bbd282e
hex4f4b42b8

1330332344 has 64 divisors (see below), whose sum is σ = 2762173440. Its totient is φ = 595647360.

The previous prime is 1330332301. The next prime is 1330332349. The reversal of 1330332344 is 4432330331.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330332349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2873057 + ... + 2873519.

It is an arithmetic number, because the mean of its divisors is an integer number (43158960).

Almost surely, 21330332344 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 1330332344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381086720).

1330332344 is an abundant number, since it is smaller than the sum of its proper divisors (1431841096).

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

1330332344 is a wasteful number, since it uses less digits than its factorization.

1330332344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 26.

The square root of 1330332344 is about 36473.7212798475. The cubic root of 1330332344 is about 1099.8160419648.

Adding to 1330332344 its reverse (4432330331), we get a palindrome (5762662675).

The spelling of 1330332344 in words is "one billion, three hundred thirty million, three hundred thirty-two thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 103 206 317 412 463 634 824 926 1133 1268 1852 2266 2536 3487 3704 4532 5093 6974 9064 10186 13948 20372 27896 32651 40744 47689 65302 95378 130604 146771 190756 261208 293542 359161 381512 524579 587084 718322 1049158 1174168 1436644 1614481 2098316 2873288 3228962 4196632 6457924 12915848 15117413 30234826 60469652 120939304 166291543 332583086 665166172 1330332344