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1338032761 = 13877117361
BaseRepresentation
bin100111111000000…
…1100001001111001
310110020202002212221
41033300030021321
510220014022021
6340434404041
745105043102
oct11760141171
93406662787
101338032761
116273148aa
12314130621
13184293280
14c99c13a9
157c704241
hex4fc0c279

1338032761 has 8 divisors (see below), whose sum is σ = 1442613704. Its totient is φ = 1233688320.

The previous prime is 1338032713. The next prime is 1338032767. The reversal of 1338032761 is 1672308331.

It can be written as a sum of positive squares in 4 ways, for example, as 121418361 + 1216614400 = 11019^2 + 34880^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1338032761 - 229 = 801161849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1338032767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47280 + ... + 70081.

It is an arithmetic number, because the mean of its divisors is an integer number (180326713).

Almost surely, 21338032761 is an apocalyptic number.

It is an amenable number.

1338032761 is a deficient number, since it is larger than the sum of its proper divisors (104580943).

1338032761 is a wasteful number, since it uses less digits than its factorization.

1338032761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118251.

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 1338032761 is about 36579.1301290777. The cubic root of 1338032761 is about 1101.9339974172.

The spelling of 1338032761 in words is "one billion, three hundred thirty-eight million, thirty-two thousand, seven hundred sixty-one".

Divisors: 1 13 877 11401 117361 1525693 102925597 1338032761