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2305314401 = 13891992493
BaseRepresentation
bin1000100101101000…
…0100111001100001
312221122212002211212
42021122010321201
514210130030101
61020430515505
7111061564145
oct21132047141
95848762755
102305314401
11a83320915
12544065b95
132a97b6080
1417c253225
15d75c11bb
hex89684e61

2305314401 has 8 divisors (see below), whose sum is σ = 2510542440. Its totient is φ = 2104071552.

The previous prime is 2305314397. The next prime is 2305314437. The reversal of 2305314401 is 1044135032.

It can be written as a sum of positive squares in 4 ways, for example, as 33362176 + 2271952225 = 5776^2 + 47665^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2305314401 - 22 = 2305314397 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2305314001) 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, 995090 + ... + 997403.

It is an arithmetic number, because the mean of its divisors is an integer number (313817805).

Almost surely, 22305314401 is an apocalyptic number.

It is an amenable number.

2305314401 is a deficient number, since it is larger than the sum of its proper divisors (205228039).

2305314401 is a wasteful number, since it uses less digits than its factorization.

2305314401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1992595.

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 2305314401 is about 48013.6897249107. The cubic root of 2305314401 is about 1321.0220124875.

Adding to 2305314401 its reverse (1044135032), we get a palindrome (3349449433).

The spelling of 2305314401 in words is "two billion, three hundred five million, three hundred fourteen thousand, four hundred one".

Divisors: 1 13 89 1157 1992493 25902409 177331877 2305314401