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304120263841 = 232239772
BaseRepresentation
bin1000110110011101111…
…10101111010010100001
31002001222122221010011121
410123032332233102201
514440314241420331
6351413320412241
730654245406352
oct4331676572241
91061878833147
10304120263841
11107a81a62529
124ab35317081
13228a863a354
1410a1043dd29
157d9e28cc11
hex46cefaf4a1

304120263841 has 9 divisors (see below), whose sum is σ = 317931040371. Its totient is φ = 290885511312.

The previous prime is 304120263827. The next prime is 304120263871. The reversal of 304120263841 is 148362021403.

The square root of 304120263841 is 551471.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 131808933025 + 172311330816 = 363055^2 + 415104^2 .

It is not a de Polignac number, because 304120263841 - 221 = 304118166689 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 304120263797 and 304120263806.

It is not an unprimeable number, because it can be changed into a prime (304120263871) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12671845 + ... + 12695821.

Almost surely, 2304120263841 is an apocalyptic number.

304120263841 is the 551471-st square number.

304120263841 is the 275736-th centered octagonal number.

It is an amenable number.

304120263841 is a deficient number, since it is larger than the sum of its proper divisors (13810776530).

304120263841 is an frugal number, since it uses more digits than its factorization.

304120263841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48000 (or 24000 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The spelling of 304120263841 in words is "three hundred four billion, one hundred twenty million, two hundred sixty-three thousand, eight hundred forty-one".

Divisors: 1 23 529 23977 551471 12683833 574896529 13222620167 304120263841