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2307285 = 375211
BaseRepresentation
bin1000110011010011010101
311100020000000
420303103111
51042313120
6121241513
725416531
oct10632325
94306000
102307285
111336552
12933299
1362a276
14440bc1
15308990
hex2334d5

2307285 has 32 divisors (see below), whose sum is σ = 4172160. Its totient is φ = 1224720.

The previous prime is 2307281. The next prime is 2307289. The reversal of 2307285 is 5827032.

2307285 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2307281) and next prime (2307289).

It is not a de Polignac number, because 2307285 - 22 = 2307281 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 217 + 34 + 0 + 73 + 221 + 83 + 57 .

2307285 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2307281) 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 31 ways as a sum of consecutive naturals, for example, 10830 + ... + 11040.

It is an arithmetic number, because the mean of its divisors is an integer number (130380).

22307285 is an apocalyptic number.

It is an amenable number.

2307285 is a deficient number, since it is larger than the sum of its proper divisors (1864875).

2307285 is an frugal number, since it uses more digits than its factorization.

2307285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2307285 is about 1518.9749833358. The cubic root of 2307285 is about 132.1398311596.

The spelling of 2307285 in words is "two million, three hundred seven thousand, two hundred eighty-five".

Divisors: 1 3 5 9 15 27 45 81 135 211 243 405 633 729 1055 1215 1899 2187 3165 3645 5697 9495 10935 17091 28485 51273 85455 153819 256365 461457 769095 2307285