Search a number
-
+
303020420 = 22529522449
BaseRepresentation
bin10010000011111…
…011100110000100
3210010012000212112
4102003323212010
51110033123140
650022440152
710336426313
oct2203734604
9703160775
10303020420
111460577aa
1285593058
134aa17831
142c35c27a
151b908c65
hex120fb984

303020420 has 24 divisors (see below), whose sum is σ = 658287000. Its totient is φ = 117028352.

The previous prime is 303020413. The next prime is 303020429. The reversal of 303020420 is 24020303.

It can be written as a sum of positive squares in 4 ways, for example, as 538756 + 302481664 = 734^2 + 17392^2 .

It is a junction number, because it is equal to n+sod(n) for n = 303020395 and 303020404.

It is not an unprimeable number, because it can be changed into a prime (303020429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 260645 + ... + 261804.

It is an arithmetic number, because the mean of its divisors is an integer number (27428625).

Almost surely, 2303020420 is an apocalyptic number.

It is an amenable number.

303020420 is an abundant number, since it is smaller than the sum of its proper divisors (355266580).

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

303020420 is a wasteful number, since it uses less digits than its factorization.

303020420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522487 (or 522485 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 303020420 is about 17407.4817248217. The cubic root of 303020420 is about 671.6720840841.

Adding to 303020420 its reverse (24020303), we get a palindrome (327040723).

The spelling of 303020420 in words is "three hundred three million, twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 522449 1044898 2089796 2612245 5224490 10448980 15151021 30302042 60604084 75755105 151510210 303020420