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2984087333 = 17372128221
BaseRepresentation
bin1011000111011101…
…1000111100100101
321200222002100021002
42301313120330211
522102411243313
61212035203045
7133643216033
oct26167307445
97628070232
102984087333
1112a1491a87
126b3446485
13387302666
14204463553
15126e9e058
hexb1dd8f25

2984087333 has 12 divisors (see below), whose sum is σ = 3247350372. Its totient is φ = 2732624640.

The previous prime is 2984087317. The next prime is 2984087347. The reversal of 2984087333 is 3337804892.

It can be written as a sum of positive squares in 6 ways, for example, as 942674209 + 2041413124 = 30703^2 + 45182^2 .

It is not a de Polignac number, because 2984087333 - 24 = 2984087317 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2984087363) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40838 + ... + 87383.

It is an arithmetic number, because the mean of its divisors is an integer number (270612531).

Almost surely, 22984087333 is an apocalyptic number.

It is an amenable number.

2984087333 is a deficient number, since it is larger than the sum of its proper divisors (263263039).

2984087333 is a wasteful number, since it uses less digits than its factorization.

2984087333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128312 (or 128275 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 47.

The square root of 2984087333 is about 54626.8005012192. The cubic root of 2984087333 is about 1439.6950442511.

The spelling of 2984087333 in words is "two billion, nine hundred eighty-four million, eighty-seven thousand, three hundred thirty-three".

Divisors: 1 17 37 629 1369 23273 128221 2179757 4744177 80651009 175534549 2984087333