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2304313420 = 225232433503
BaseRepresentation
bin1000100101011001…
…0000100001001100
312221120222020202111
42021112100201030
514204401012140
61020353233404
7111050224633
oct21126204114
95846866674
102304313420
11a827a7862
12543862864
132a9525586
1417c07251a
15d74747ea
hex8959084c

2304313420 has 72 divisors (see below), whose sum is σ = 5080362336. Its totient is φ = 877865472.

The previous prime is 2304313411. The next prime is 2304313441. The reversal of 2304313420 is 243134032.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2304313391 and 2304313400.

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, 4580889 + ... + 4581391.

It is an arithmetic number, because the mean of its divisors is an integer number (70560588).

Almost surely, 22304313420 is an apocalyptic number.

2304313420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2304313420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540181168).

2304313420 is an abundant number, since it is smaller than the sum of its proper divisors (2776048916).

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

2304313420 is a wasteful number, since it uses less digits than its factorization.

2304313420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 2304313420 is about 48003.2646806444. The cubic root of 2304313420 is about 1320.8307863122.

Adding to 2304313420 its reverse (243134032), we get a palindrome (2547447452).

It can be divided in two parts, 23043 and 13420, that added together give a palindrome (36463).

The spelling of 2304313420 in words is "two billion, three hundred four million, three hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 433 460 503 529 866 1006 1058 1732 2012 2116 2165 2515 2645 4330 5030 5290 8660 9959 10060 10580 11569 19918 23138 39836 46276 49795 57845 99590 115690 199180 217799 229057 231380 266087 435598 458114 532174 871196 916228 1064348 1088995 1145285 1330435 2177990 2290570 2660870 4355980 4581140 5009377 5321740 10018754 20037508 25046885 50093770 100187540 115215671 230431342 460862684 576078355 1152156710 2304313420