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318943881 = 3259532
BaseRepresentation
bin10011000000101…
…011001010001001
3211020011000202100
4103000223022021
51123122201011
651352024013
710621656354
oct2300531211
9736130670
10318943881
11154043293
128a992009
13511015b9
143050529b
151d001d56
hex1302b289

318943881 has 9 divisors (see below), whose sum is σ = 460774119. Its totient is φ = 212593536.

The previous prime is 318943847. The next prime is 318943883. The reversal of 318943881 is 188349813.

The square root of 318943881 is 17859.

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., 2673225 + 316270656 = 1635^2 + 17784^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 318943881 - 27 = 318943753 is a prime.

It is a super-3 number, since 3×3189438813 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (318943883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 50601 + ... + 56553.

Almost surely, 2318943881 is an apocalyptic number.

318943881 is the 17859-th square number.

318943881 is the 8930-th centered octagonal number.

It is an amenable number.

318943881 is a deficient number, since it is larger than the sum of its proper divisors (141830238).

318943881 is an frugal number, since it uses more digits than its factorization.

318943881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11912 (or 5956 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The cubic root of 318943881 is about 683.2370751318.

The spelling of 318943881 in words is "three hundred eighteen million, nine hundred forty-three thousand, eight hundred eighty-one".

Divisors: 1 3 9 5953 17859 53577 35438209 106314627 318943881