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2327380480 = 295909133
BaseRepresentation
bin1000101010111001…
…0000001000000000
320000012101011211001
42022232100020000
514231302133410
61022535501344
7111450256555
oct21256201000
96005334731
102327380480
11a94822447
1254b527854
132b1240a19
14181158a2c
15d94ce33a
hex8ab90200

2327380480 has 40 divisors (see below), whose sum is σ = 5580264492. Its totient is φ = 930951168.

The previous prime is 2327380477. The next prime is 2327380487. The reversal of 2327380480 is 840837232.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2317844736 + 9535744 = 48144^2 + 3088^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (2327380487) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 452007 + ... + 457126.

Almost surely, 22327380480 is an apocalyptic number.

2327380480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2327380480 is an abundant number, since it is smaller than the sum of its proper divisors (3252884012).

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

2327380480 is an frugal number, since it uses more digits than its factorization.

2327380480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909156 (or 909140 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The square root of 2327380480 is about 48242.9319175359. The cubic root of 2327380480 is about 1325.2235018726.

The spelling of 2327380480 in words is "two billion, three hundred twenty-seven million, three hundred eighty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 909133 1818266 3636532 4545665 7273064 9091330 14546128 18182660 29092256 36365320 58184512 72730640 116369024 145461280 232738048 290922560 465476096 581845120 1163690240 2327380480