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331364066 = 21121923793
BaseRepresentation
bin10011110000000…
…011011011100010
3212002112001001012
4103300003123202
51134312122231
652514140522
711132355665
oct2360033342
9762461035
10331364066
11160056800
1292b81742
135385c917
14320196dc
151e156e2b
hex13c036e2

331364066 has 36 divisors (see below), whose sum is σ = 576760086. Its totient is φ = 142655040.

The previous prime is 331364039. The next prime is 331364069. The reversal of 331364066 is 660463133.

It can be written as a sum of positive squares in only one way, i.e., 315595225 + 15768841 = 17765^2 + 3971^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (331364069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 85466 + ... + 89258.

Almost surely, 2331364066 is an apocalyptic number.

331364066 is a deficient number, since it is larger than the sum of its proper divisors (245396020).

331364066 is a wasteful number, since it uses less digits than its factorization.

331364066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3855 (or 3825 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 32.

The square root of 331364066 is about 18203.4080874983. The cubic root of 331364066 is about 691.9931629182.

The spelling of 331364066 in words is "three hundred thirty-one million, three hundred sixty-four thousand, sixty-six".

Divisors: 1 2 11 19 22 38 121 209 242 361 418 722 2299 3793 3971 4598 7586 7942 41723 43681 72067 83446 87362 144134 458953 792737 917906 1369273 1585474 2738546 8720107 15062003 17440214 30124006 165682033 331364066