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30400 = 265219
BaseRepresentation
bin111011011000000
31112200221
413123000
51433100
6352424
7154426
oct73300
945627
1030400
1120927
1215714
1310ab6
14b116
15901a
hex76c0

30400 has 42 divisors (see below), whose sum is σ = 78740. Its totient is φ = 11520.

The previous prime is 30391. The next prime is 30403. The reversal of 30400 is 403.

Adding to 30400 its reverse (403), we get a palindrome (30803).

It is a nialpdrome in base 8.

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

30400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 5 ways as a sum of consecutive naturals, for example, 1591 + ... + 1609.

230400 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 30400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39370).

30400 is an abundant number, since it is smaller than the sum of its proper divisors (48340).

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

30400 is a wasteful number, since it uses less digits than its factorization.

30400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 7.

The square root of 30400 is about 174.3559577416. The cubic root of 30400 is about 31.2098150142.

The spelling of 30400 in words is "thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 152 160 190 200 304 320 380 400 475 608 760 800 950 1216 1520 1600 1900 3040 3800 6080 7600 15200 30400