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304131420 = 223258232053
BaseRepresentation
bin10010001000001…
…010110101011100
3210012021110212200
4102020022311130
51110324201140
650102331500
710352034345
oct2210126534
9705243780
10304131420
1114674648a
1285a29b90
134b016428
142c56b0cc
151ba78030
hex1220ad5c

304131420 has 72 divisors (see below), whose sum is σ = 924102816. Its totient is φ = 80963712.

The previous prime is 304131409. The next prime is 304131427. The reversal of 304131420 is 24131403.

304131420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 304131393 and 304131402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304131427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147114 + ... + 149166.

Almost surely, 2304131420 is an apocalyptic number.

304131420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

304131420 is an abundant number, since it is smaller than the sum of its proper divisors (619971396).

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

304131420 is a wasteful number, since it uses less digits than its factorization.

304131420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2891 (or 2886 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 304131420 is about 17439.3640939112. The cubic root of 304131420 is about 672.4919601219.

Adding to 304131420 its reverse (24131403), we get a palindrome (328262823).

The spelling of 304131420 in words is "three hundred four million, one hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 823 1646 2053 2469 3292 4106 4115 4938 6159 7407 8212 8230 9876 10265 12318 12345 14814 16460 18477 20530 24636 24690 29628 30795 36954 37035 41060 49380 61590 73908 74070 92385 123180 148140 184770 369540 1689619 3379238 5068857 6758476 8448095 10137714 15206571 16896190 20275428 25344285 30413142 33792380 50688570 60826284 76032855 101377140 152065710 304131420