Search a number
-
+
304000 = 275319
BaseRepresentation
bin1001010001110000000
3120110000021
41022032000
534212000
610303224
72404204
oct1121600
9513007
10304000
11198444
12127b14
13a84a8
147cb04
156011a
hex4a380

304000 has 64 divisors (see below), whose sum is σ = 795600. Its totient is φ = 115200.

The previous prime is 303997. The next prime is 304009. The reversal of 304000 is 403.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15991 + ... + 16009.

2304000 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 304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397800).

304000 is an abundant number, since it is smaller than the sum of its proper divisors (491600).

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

304000 is an equidigital number, since it uses as much as digits as its factorization.

304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 26 counting only the distinct ones).

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

The square root of 304000 is about 551.3619500836. The cubic root of 304000 is about 67.2395081360.

Adding to 304000 its reverse (403), we get a palindrome (304403).

The spelling of 304000 in words is "three hundred four thousand", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 125 128 152 160 190 200 250 304 320 380 400 475 500 608 640 760 800 950 1000 1216 1520 1600 1900 2000 2375 2432 3040 3200 3800 4000 4750 6080 7600 8000 9500 12160 15200 16000 19000 30400 38000 60800 76000 152000 304000