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30324 = 2237192
BaseRepresentation
bin111011001110100
31112121010
413121310
51432244
6352220
7154260
oct73164
945533
1030324
1120868
1215670
1310a58
14b0a0
158eb9
hex7674

30324 has 36 divisors (see below), whose sum is σ = 85344. Its totient is φ = 8208.

The previous prime is 30323. The next prime is 30341. The reversal of 30324 is 42303.

Adding to 30324 its reverse (42303), we get a palindrome (72627).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 30324.

It is not an unprimeable number, because it can be changed into a prime (30323) 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, 1587 + ... + 1605.

230324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42672).

30324 is an abundant number, since it is smaller than the sum of its proper divisors (55020).

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

30324 is a wasteful number, since it uses less digits than its factorization.

30324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 30324 is about 174.1378764083. The cubic root of 30324 is about 31.1837851313.

The spelling of 30324 in words is "thirty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 361 399 532 722 798 1083 1444 1596 2166 2527 4332 5054 7581 10108 15162 30324