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305145 = 3256781
BaseRepresentation
bin1001010011111111001
3120111120200
41022133321
534231040
610312413
72410431
oct1123771
9514520
10305145
11199295
12128709
13a8b79
147d2c1
1560630
hex4a7f9

305145 has 12 divisors (see below), whose sum is σ = 528996. Its totient is φ = 162720.

The previous prime is 305143. The next prime is 305147. The reversal of 305145 is 541503.

It is an interprime number because it is at equal distance from previous prime (305143) and next prime (305147).

It can be written as a sum of positive squares in 2 ways, for example, as 121104 + 184041 = 348^2 + 429^2 .

It is not a de Polignac number, because 305145 - 21 = 305143 is a prime.

It is a super-2 number, since 2×3051452 = 186226942050, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 305145.

It is not an unprimeable number, because it can be changed into a prime (305143) 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, 3346 + ... + 3435.

It is an arithmetic number, because the mean of its divisors is an integer number (44083).

2305145 is an apocalyptic number.

It is an amenable number.

305145 is a deficient number, since it is larger than the sum of its proper divisors (223851).

305145 is a wasteful number, since it uses less digits than its factorization.

305145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6792 (or 6789 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 305145 is about 552.3993120923. The cubic root of 305145 is about 67.3238203947.

Adding to 305145 its reverse (541503), we get a palindrome (846648).

The spelling of 305145 in words is "three hundred five thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 45 6781 20343 33905 61029 101715 305145