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1331384733 = 327217177589
BaseRepresentation
bin100111101011011…
…0101000110011101
310102210020100111200
41033112311012131
510211313302413
6340040110113
744664404100
oct11726650635
93383210450
101331384733
11623594068
12311a65339
13182aa6323
14c8b70737
157bd3e573
hex4f5b519d

1331384733 has 36 divisors (see below), whose sum is σ = 2368695420. Its totient is φ = 716034816.

The previous prime is 1331384707. The next prime is 1331384741. The reversal of 1331384733 is 3374831331.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 571114404 + 760270329 = 23898^2 + 27573^2 .

It is not a de Polignac number, because 1331384733 - 28 = 1331384477 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331384753) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 81298 + ... + 96291.

It is an arithmetic number, because the mean of its divisors is an integer number (65797095).

Almost surely, 21331384733 is an apocalyptic number.

It is an amenable number.

1331384733 is a deficient number, since it is larger than the sum of its proper divisors (1037310687).

1331384733 is a wasteful number, since it uses less digits than its factorization.

1331384733 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177626 (or 177616 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 1331384733 is about 36488.1451022109. The cubic root of 1331384733 is about 1100.1059768419.

The spelling of 1331384733 in words is "one billion, three hundred thirty-one million, three hundred eighty-four thousand, seven hundred thirty-three".

Divisors: 1 3 7 9 17 21 49 51 63 119 147 153 357 441 833 1071 2499 7497 177589 532767 1243123 1598301 3019013 3729369 8701861 9057039 11188107 21133091 26105583 27171117 63399273 78316749 147931637 190197819 443794911 1331384733