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1338681744 = 243230492
BaseRepresentation
bin100111111001010…
…1010100110010000
310110021222002010100
41033302222212100
510220200303434
6340500332400
745113415141
oct11762524620
93407862110
101338681744
11627718454
123143a4100
1318445c79a
14c9b0dac8
157c7d1699
hex4fcaa990

1338681744 has 45 divisors (see below), whose sum is σ = 3747678753. Its totient is φ = 446080896.

The previous prime is 1338681697. The next prime is 1338681761. The reversal of 1338681744 is 4471868331.

The square root of 1338681744 is 36588.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 144288144 + 1194393600 = 12012^2 + 34560^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1338681744.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 437532 + ... + 440580.

Almost surely, 21338681744 is an apocalyptic number.

1338681744 is the 36588-th square number.

It is an amenable number.

1338681744 is an abundant number, since it is smaller than the sum of its proper divisors (2408997009).

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

1338681744 is an frugal number, since it uses more digits than its factorization.

1338681744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6112 (or 3054 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The cubic root of 1338681744 is about 1102.1121248052.

The spelling of 1338681744 in words is "one billion, three hundred thirty-eight million, six hundred eighty-one thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 3049 6098 9147 12196 18294 24392 27441 36588 48784 54882 73176 109764 146352 219528 439056 9296401 18592802 27889203 37185604 55778406 74371208 83667609 111556812 148742416 167335218 223113624 334670436 446227248 669340872 1338681744