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30393 = 3211307
BaseRepresentation
bin111011010111001
31112200200
413122321
51433033
6352413
7154416
oct73271
945620
1030393
1120920
1215709
1310aac
14b10d
159013
hex76b9

30393 has 12 divisors (see below), whose sum is σ = 48048. Its totient is φ = 18360.

The previous prime is 30391. The next prime is 30403. The reversal of 30393 is 39303.

Added to its reverse (39303) it gives a square (69696 = 2642).

It is not a de Polignac number, because 30393 - 21 = 30391 is a prime.

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 30393.

It is not an unprimeable number, because it can be changed into a prime (30391) 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, 55 + ... + 252.

It is an arithmetic number, because the mean of its divisors is an integer number (4004).

230393 is an apocalyptic number.

30393 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

30393 is a deficient number, since it is larger than the sum of its proper divisors (17655).

30393 is a wasteful number, since it uses less digits than its factorization.

30393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

The square root of 30393 is about 174.3358827092. The cubic root of 30393 is about 31.2074193401.

Adding to 30393 its reverse (39303), we get a palindrome (69696).

The spelling of 30393 in words is "thirty thousand, three hundred ninety-three".

Divisors: 1 3 9 11 33 99 307 921 2763 3377 10131 30393