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30397 = 113269
BaseRepresentation
bin111011010111101
31112200211
413122331
51433042
6352421
7154423
oct73275
945624
1030397
1120924
1215711
1310ab3
14b113
159017
hex76bd

30397 has 4 divisors (see below), whose sum is σ = 30780. Its totient is φ = 30016.

The previous prime is 30391. The next prime is 30403. The reversal of 30397 is 79303.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 79303 = 711329.

It is an interprime number because it is at equal distance from previous prime (30391) and next prime (30403).

It can be written as a sum of positive squares in 2 ways, for example, as 1156 + 29241 = 34^2 + 171^2 .

It is a cyclic number.

It is not a de Polignac number, because 30397 - 23 = 30389 is a prime.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

30397 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30391) 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 3 ways as a sum of consecutive naturals, for example, 22 + ... + 247.

It is an arithmetic number, because the mean of its divisors is an integer number (7695).

230397 is an apocalyptic number.

It is an amenable number.

30397 is a deficient number, since it is larger than the sum of its proper divisors (383).

30397 is a wasteful number, since it uses less digits than its factorization.

30397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382.

The product of its (nonzero) digits is 567, while the sum is 22.

The square root of 30397 is about 174.3473544393. The cubic root of 30397 is about 31.2087883417.

It can be divided in two parts, 303 and 97, that added together give a square (400 = 202).

The spelling of 30397 in words is "thirty thousand, three hundred ninety-seven".

Divisors: 1 113 269 30397