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30345 = 357172
BaseRepresentation
bin111011010001001
31112121220
413122021
51432340
6352253
7154320
oct73211
945556
1030345
1120887
1215689
1310a73
14b0b7
158ed0
hex7689

30345 has 24 divisors (see below), whose sum is σ = 58944. Its totient is φ = 13056.

The previous prime is 30341. The next prime is 30347. The reversal of 30345 is 54303.

30345 is nontrivially palindromic in base 6.

It is not a de Polignac number, because 30345 - 22 = 30341 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a d-powerful number, because it can be written as 38 + 0 + 39 + 46 + 5 .

It is an alternating number because its digits alternate between odd and even.

It is a plaindrome in base 9 and base 12.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (30341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1777 + ... + 1793.

It is an arithmetic number, because the mean of its divisors is an integer number (2456).

230345 is an apocalyptic number.

30345 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

30345 is a deficient number, since it is larger than the sum of its proper divisors (28599).

30345 is a wasteful number, since it uses less digits than its factorization.

30345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 32 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 30345 is about 174.1981630213. The cubic root of 30345 is about 31.1909819433.

Adding to 30345 its reverse (54303), we get a palindrome (84648).

The spelling of 30345 in words is "thirty thousand, three hundred forty-five".

Divisors: 1 3 5 7 15 17 21 35 51 85 105 119 255 289 357 595 867 1445 1785 2023 4335 6069 10115 30345