Search a number
-
+
304141240 = 235134871201
BaseRepresentation
bin10010001000001…
…101001110111000
3210012021222100101
4102020031032320
51110330004430
650102445144
710352105104
oct2210151670
9705258311
10304141240
111467528a7
1285a337b4
134b01aa40
142c570904
151ba7adca
hex1220d3b8

304141240 has 64 divisors (see below), whose sum is σ = 739085760. Its totient is φ = 111974400.

The previous prime is 304141219. The next prime is 304141247. The reversal of 304141240 is 42141403.

304141240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304141247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252640 + ... + 253840.

It is an arithmetic number, because the mean of its divisors is an integer number (11548215).

Almost surely, 2304141240 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 304141240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369542880).

304141240 is an abundant number, since it is smaller than the sum of its proper divisors (434944520).

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

304141240 is a wasteful number, since it uses less digits than its factorization.

304141240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1712 (or 1708 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 304141240 is about 17439.6456386017. The cubic root of 304141240 is about 672.4991980017.

Adding to 304141240 its reverse (42141403), we get a palindrome (346282643).

The spelling of 304141240 in words is "three hundred four million, one hundred forty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 487 520 974 1201 1948 2402 2435 3896 4804 4870 6005 6331 9608 9740 12010 12662 15613 19480 24020 25324 31226 31655 48040 50648 62452 63310 78065 124904 126620 156130 253240 312260 584887 624520 1169774 2339548 2924435 4679096 5848870 7603531 11697740 15207062 23395480 30414124 38017655 60828248 76035310 152070620 304141240