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330087141 = 3236676349
BaseRepresentation
bin10011101011001…
…011101011100101
3212000010011102200
4103223023223211
51134000242031
652430525113
711115460116
oct2353135345
9760104380
10330087141
1115a36439a
1292666799
1353503647
1431ba620d
151dea38e6
hex13acbae5

330087141 has 6 divisors (see below), whose sum is σ = 476792550. Its totient is φ = 220058088.

The previous prime is 330087083. The next prime is 330087143. The reversal of 330087141 is 141780033.

It can be written as a sum of positive squares in only one way, i.e., 220968225 + 109118916 = 14865^2 + 10446^2 .

It is not a de Polignac number, because 330087141 - 218 = 329824997 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330087143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18338166 + ... + 18338183.

It is an arithmetic number, because the mean of its divisors is an integer number (79465425).

Almost surely, 2330087141 is an apocalyptic number.

It is an amenable number.

330087141 is a deficient number, since it is larger than the sum of its proper divisors (146705409).

330087141 is a wasteful number, since it uses less digits than its factorization.

330087141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36676355 (or 36676352 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 330087141 is about 18168.3004433546. The cubic root of 330087141 is about 691.1031440308.

The spelling of 330087141 in words is "three hundred thirty million, eighty-seven thousand, one hundred forty-one".

Divisors: 1 3 9 36676349 110029047 330087141