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30336 = 27379
BaseRepresentation
bin111011010000000
31112121120
413122000
51432321
6352240
7154305
oct73200
945546
1030336
1120879
1215680
1310a67
14b0ac
158ec6
hex7680

30336 has 32 divisors (see below), whose sum is σ = 81600. Its totient is φ = 9984.

The previous prime is 30323. The next prime is 30341. The reversal of 30336 is 63303.

30336 = 542 + 552 + ... + 622.

It is a tau number, because it is divible by the number of its divisors (32).

It is a nialpdrome in base 8.

It is an unprimeable number.

30336 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 345 + ... + 423.

It is an arithmetic number, because the mean of its divisors is an integer number (2550).

230336 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 30336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40800).

30336 is an abundant number, since it is smaller than the sum of its proper divisors (51264).

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

30336 is an equidigital number, since it uses as much as digits as its factorization.

30336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

The square root of 30336 is about 174.1723284566. The cubic root of 30336 is about 31.1878980020.

Adding to 30336 its reverse (63303), we get a palindrome (93639).

The spelling of 30336 in words is "thirty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 316 384 474 632 948 1264 1896 2528 3792 5056 7584 10112 15168 30336