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398882313 = 358319777
BaseRepresentation
bin10111110001100…
…111011000001001
31000210120022200000
4113301213120021
51304103213223
6103325233213
712612305124
oct2761473011
91023508600
10398882313
11195182205
12b1702809
136483c94b
143ad933bb
1525042543
hex17c67609

398882313 has 24 divisors (see below), whose sum is σ = 604732128. Its totient is φ = 262704384.

The previous prime is 398882291. The next prime is 398882321. The reversal of 398882313 is 313288893.

It is not a de Polignac number, because 398882313 - 216 = 398816777 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (398882413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10281 + ... + 30057.

It is an arithmetic number, because the mean of its divisors is an integer number (25197172).

Almost surely, 2398882313 is an apocalyptic number.

It is an amenable number.

398882313 is a deficient number, since it is larger than the sum of its proper divisors (205849815).

398882313 is an equidigital number, since it uses as much as digits as its factorization.

398882313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19875 (or 19863 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 398882313 is about 19972.0382785533. The cubic root of 398882313 is about 736.1193938565.

The spelling of 398882313 in words is "three hundred ninety-eight million, eight hundred eighty-two thousand, three hundred thirteen".

Divisors: 1 3 9 27 81 83 243 249 747 2241 6723 19777 20169 59331 177993 533979 1601937 1641491 4805811 4924473 14773419 44320257 132960771 398882313