Search a number
-
+
304771220 = 225132372437
BaseRepresentation
bin10010001010100…
…111000010010100
3210020110222111222
4102022213002110
51111010134340
650124145512
710360340555
oct2212470224
9706428458
10304771220
11147043146
1286098298
134b1ab700
142c69632c
151bb528b5
hex122a7094

304771220 has 72 divisors (see below), whose sum is σ = 712061784. Its totient is φ = 109444608.

The previous prime is 304771219. The next prime is 304771241. The reversal of 304771220 is 22177403.

It can be written as a sum of positive squares in 12 ways, for example, as 36990724 + 267780496 = 6082^2 + 16364^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 304771220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123842 + ... + 126278.

It is an arithmetic number, because the mean of its divisors is an integer number (9889747).

Almost surely, 2304771220 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 304771220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356030892).

304771220 is an abundant number, since it is smaller than the sum of its proper divisors (407290564).

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

304771220 is a wasteful number, since it uses less digits than its factorization.

304771220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2509 (or 2494 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 26.

The square root of 304771220 is about 17457.6980154888. The cubic root of 304771220 is about 672.9632026699.

The spelling of 304771220 in words is "three hundred four million, seven hundred seventy-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 169 185 260 338 370 481 676 740 845 962 1690 1924 2405 2437 3380 4810 4874 6253 9620 9748 12185 12506 24370 25012 31265 31681 48740 62530 63362 90169 125060 126724 158405 180338 316810 360676 411853 450845 633620 823706 901690 1172197 1647412 1803380 2059265 2344394 4118530 4688788 5860985 8237060 11721970 15238561 23443940 30477122 60954244 76192805 152385610 304771220