Search a number
-
+
304145556 = 22311134212
BaseRepresentation
bin10010001000001…
…110010010010100
3210012022012021020
4102020032102110
51110330124211
650102521140
710352123511
oct2210162224
9705265236
10304145556
11146756070
1285a361b0
134b01c9b0
142c572308
151ba7c306
hex1220e494

304145556 has 72 divisors (see below), whose sum is σ = 835726752. Its totient is φ = 84873600.

The previous prime is 304145509. The next prime is 304145563. The reversal of 304145556 is 655541403.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 722226 + ... + 722646.

It is an arithmetic number, because the mean of its divisors is an integer number (11607316).

Almost surely, 2304145556 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 304145556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417863376).

304145556 is an abundant number, since it is smaller than the sum of its proper divisors (531581196).

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

304145556 is a wasteful number, since it uses less digits than its factorization.

304145556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The square root of 304145556 is about 17439.7693792091. The cubic root of 304145556 is about 672.5023790816.

Adding to 304145556 its reverse (655541403), we get a palindrome (959686959).

The spelling of 304145556 in words is "three hundred four million, one hundred forty-five thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 421 429 572 842 858 1263 1684 1716 2526 4631 5052 5473 9262 10946 13893 16419 18524 21892 27786 32838 55572 60203 65676 120406 177241 180609 240812 354482 361218 531723 708964 722436 1063446 1949651 2126892 2304133 3899302 4608266 5848953 6912399 7798604 9216532 11697906 13824798 23395812 25345463 27649596 50690926 76036389 101381852 152072778 304145556