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2300314340 = 225115015717
BaseRepresentation
bin1000100100011100…
…0000001011100100
312221022110002001102
42021013000023210
514202340024330
61020131415232
7111001230542
oct21107001344
95838402042
102300314340
11a80516235
12542454518
132a875525c
1417b710d92
15d6e34945
hex891c02e4

2300314340 has 12 divisors (see below), whose sum is σ = 4830660156. Its totient is φ = 920125728.

The previous prime is 2300314333. The next prime is 2300314351. The reversal of 2300314340 is 434130032.

It can be written as a sum of positive squares in 2 ways, for example, as 1634261476 + 666052864 = 40426^2 + 25808^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 115015717 = 2300314340 / (2 + 3 + 0 + 0 + 3 + 1 + 4 + 3 + 4 + 0).

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 3 ways as a sum of consecutive naturals, for example, 57507839 + ... + 57507878.

It is an arithmetic number, because the mean of its divisors is an integer number (402555013).

Almost surely, 22300314340 is an apocalyptic number.

2300314340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2300314340 is an abundant number, since it is smaller than the sum of its proper divisors (2530345816).

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

2300314340 is a wasteful number, since it uses less digits than its factorization.

2300314340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115015726 (or 115015724 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 2300314340 is about 47961.5923422065. The cubic root of 2300314340 is about 1320.0662539442.

Adding to 2300314340 its reverse (434130032), we get a palindrome (2734444372).

The spelling of 2300314340 in words is "two billion, three hundred million, three hundred fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 115015717 230031434 460062868 575078585 1150157170 2300314340