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30408 = 2337181
BaseRepresentation
bin111011011001000
31112201020
413123020
51433113
6352440
7154440
oct73310
945636
1030408
1120934
1215720
1310ac1
14b120
159023
hex76c8

30408 has 32 divisors (see below), whose sum is σ = 87360. Its totient is φ = 8640.

The previous prime is 30403. The next prime is 30427. The reversal of 30408 is 80403.

30408 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30403) by changing a digit.

30408 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 7 ways as a sum of consecutive naturals, for example, 78 + ... + 258.

It is an arithmetic number, because the mean of its divisors is an integer number (2730).

230408 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 30408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43680).

30408 is an abundant number, since it is smaller than the sum of its proper divisors (56952).

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

30408 is a wasteful number, since it uses less digits than its factorization.

30408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 30408 is about 174.3788978059. The cubic root of 30408 is about 31.2125524771.

The spelling of 30408 in words is "thirty thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 181 362 543 724 1086 1267 1448 2172 2534 3801 4344 5068 7602 10136 15204 30408