Search a number
-
+
305400200 = 23527218143
BaseRepresentation
bin10010001101000…
…000100110001000
3210021122221022112
4102031000212020
51111140301300
650145441452
710365600410
oct2215004610
9707587275
10305400200
11147432766
1286340288
134b36baa1
142c7bb640
151bc28e35
hex12340988

305400200 has 48 divisors (see below), whose sum is σ = 811495680. Its totient is φ = 104708160.

The previous prime is 305400157. The next prime is 305400203. The reversal of 305400200 is 2004503.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (305400203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107672 + ... + 110471.

It is an arithmetic number, because the mean of its divisors is an integer number (16906160).

Almost surely, 2305400200 is an apocalyptic number.

It is an amenable number.

305400200 is an abundant number, since it is smaller than the sum of its proper divisors (506095480).

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

305400200 is a wasteful number, since it uses less digits than its factorization.

305400200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218166 (or 218157 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 305400200 is about 17475.7031332075. The cubic root of 305400200 is about 673.4258333421.

Adding to 305400200 its reverse (2004503), we get a palindrome (307404703).

The spelling of 305400200 in words is "three hundred five million, four hundred thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 218143 436286 872572 1090715 1527001 1745144 2181430 3054002 4362860 5453575 6108004 7635005 8725720 10907150 12216008 15270010 21814300 30540020 38175025 43628600 61080040 76350050 152700100 305400200