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1331075328 = 28311157561
BaseRepresentation
bin100111101010110…
…1001100100000000
310102202122122002020
41033111221210000
510211223402303
6340025321440
744661645042
oct11725514400
93382578066
101331075328
116233a2660
12311936280
131829c854b
14c8acda92
157bccca53
hex4f569900

1331075328 has 72 divisors (see below), whose sum is σ = 3864680736. Its totient is φ = 403353600.

The previous prime is 1331075323. The next prime is 1331075387. The reversal of 1331075328 is 8235701331.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (1331075323) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 70333 + ... + 87228.

Almost surely, 21331075328 is an apocalyptic number.

It is an amenable number.

1331075328 is an abundant number, since it is smaller than the sum of its proper divisors (2533605408).

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

1331075328 is a wasteful number, since it uses less digits than its factorization.

1331075328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157591 (or 157577 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 1331075328 is about 36483.9050541468. The cubic root of 1331075328 is about 1100.0207511237.

Adding to 1331075328 its reverse (8235701331), we get a palindrome (9566776659).

The spelling of 1331075328 in words is "one billion, three hundred thirty-one million, seventy-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 8448 157561 315122 472683 630244 945366 1260488 1733171 1890732 2520976 3466342 3781464 5041952 5199513 6932684 7562928 10083904 10399026 13865368 15125856 20167808 20798052 27730736 30251712 40335616 41596104 55461472 60503424 83192208 110922944 121006848 166384416 221845888 332768832 443691776 665537664 1331075328