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30468 = 2232539
BaseRepresentation
bin111011100000100
31112210110
413130010
51433333
6353020
7154554
oct73404
945713
1030468
1120989
1215770
1310b39
14b164
159063
hex7704

30468 has 12 divisors (see below), whose sum is σ = 71120. Its totient is φ = 10152.

The previous prime is 30467. The next prime is 30469. The reversal of 30468 is 86403.

It is an interprime number because it is at equal distance from previous prime (30467) and next prime (30469).

It is a tau number, because it is divible by the number of its divisors (12).

It is not an unprimeable number, because it can be changed into a prime (30467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1258 + ... + 1281.

230468 is an apocalyptic number.

It is an amenable number.

30468 is an abundant number, since it is smaller than the sum of its proper divisors (40652).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35560).

30468 is a wasteful number, since it uses less digits than its factorization.

30468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2546 (or 2544 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 30468 is about 174.5508521893. The cubic root of 30468 is about 31.2330681610.

Subtracting from 30468 its product of nonzero digits (576), we obtain a palindrome (29892).

The spelling of 30468 in words is "thirty thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 2539 5078 7617 10156 15234 30468