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305855209 = 11237531289
BaseRepresentation
bin10010001110101…
…111101011101001
3210022112001110201
4102032233223221
51111244331314
650203312201
710402504102
oct2216575351
9708461421
10305855209
11147713600
128651b661
134b49ac1a
142c8993a9
151bcb8b74
hex123afae9

305855209 has 24 divisors (see below), whose sum is σ = 352061640. Its totient is φ = 265224960.

The previous prime is 305855189. The next prime is 305855213. The reversal of 305855209 is 902558503.

It can be written as a sum of positive squares in 4 ways, for example, as 188457984 + 117397225 = 13728^2 + 10835^2 .

It is a de Polignac number, because none of the positive numbers 2k-305855209 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (305855299) 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 23 ways as a sum of consecutive naturals, for example, 236637 + ... + 237925.

It is an arithmetic number, because the mean of its divisors is an integer number (14669235).

Almost surely, 2305855209 is an apocalyptic number.

It is an amenable number.

305855209 is a deficient number, since it is larger than the sum of its proper divisors (46206431).

305855209 is a wasteful number, since it uses less digits than its factorization.

305855209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 37.

The square root of 305855209 is about 17488.7166195808. The cubic root of 305855209 is about 673.7601081366.

The spelling of 305855209 in words is "three hundred five million, eight hundred fifty-five thousand, two hundred nine".

Divisors: 1 11 37 53 121 407 583 1289 1961 4477 6413 14179 21571 47693 68317 155969 237281 524623 751487 2527729 5770853 8266357 27805019 305855209