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1338023241 = 328921372
BaseRepresentation
bin100111111000000…
…1001110101001001
310110020201121211100
41033300021311021
510220013220431
6340434252013
745105003252
oct11760116511
93406647740
101338023241
11627308735
12314127009
1318428bb39
14c99bbb29
157c7014e6
hex4fc09d49

1338023241 has 27 divisors (see below), whose sum is σ = 1969031701. Its totient is φ = 875554944.

The previous prime is 1338023191. The next prime is 1338023261. The reversal of 1338023241 is 1423208331.

The square root of 1338023241 is 36579.

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

1338023241 is a `hidden beast` number, since 1 + 338 + 0 + 2 + 324 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 78057225 + 1259966016 = 8835^2 + 35496^2 .

It is not a de Polignac number, because 1338023241 - 217 = 1337892169 is a prime.

It is a super-2 number, since 2×13380232412 = 3580612386912288162, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1338023261) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9766525 + ... + 9766661.

Almost surely, 21338023241 is an apocalyptic number.

1338023241 is the 36579-th square number.

1338023241 is the 18290-th centered octagonal number.

It is an amenable number.

1338023241 is a deficient number, since it is larger than the sum of its proper divisors (631008460).

1338023241 is an frugal number, since it uses more digits than its factorization.

1338023241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The cubic root of 1338023241 is about 1101.9313840191.

The spelling of 1338023241 in words is "one billion, three hundred thirty-eight million, twenty-three thousand, two hundred forty-one".

Divisors: 1 3 9 89 137 267 411 801 1233 7921 12193 18769 23763 36579 56307 71289 109737 168921 1085177 1670441 3255531 5011323 9766593 15033969 148669249 446007747 1338023241