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2348274681 = 322925572
BaseRepresentation
bin1000101111110111…
…1101001111111001
320001122200201021100
42023331331033321
514302124242211
61025003402013
7112123001604
oct21375751771
96048621240
102348274681
11aa55a3585
12556523309
132b567815c
14183c3733b
15db25a156
hex8bf7d3f9

2348274681 has 27 divisors (see below), whose sum is σ = 3519267661. Its totient is φ = 1508819424.

The previous prime is 2348274673. The next prime is 2348274683. The reversal of 2348274681 is 1864728432.

It is a happy number.

The square root of 2348274681 is 48459.

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

2348274681 is a `hidden beast` number, since 23 + 482 + 74 + 6 + 81 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 463325625 + 1884949056 = 21525^2 + 43416^2 .

It is not a de Polignac number, because 2348274681 - 23 = 2348274673 is a prime.

It is a super-2 number, since 2×23482746812 = 11028787954851303522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2348274683) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4215655 + ... + 4216211.

Almost surely, 22348274681 is an apocalyptic number.

2348274681 is the 48459-th square number.

2348274681 is the 24230-th centered octagonal number.

It is an amenable number.

2348274681 is a deficient number, since it is larger than the sum of its proper divisors (1170992980).

2348274681 is an frugal number, since it uses more digits than its factorization.

2348274681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 589 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The cubic root of 2348274681 is about 1329.1774515195.

It can be divided in two parts, 23 and 48274681, that added together give a square (48274704 = 69482).

The spelling of 2348274681 in words is "two billion, three hundred forty-eight million, two hundred seventy-four thousand, six hundred eighty-one".

Divisors: 1 3 9 29 87 261 557 841 1671 2523 5013 7569 16153 48459 145377 310249 468437 930747 1405311 2792241 4215933 8997221 26991663 80974989 260919409 782758227 2348274681