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2304440320 = 21157132473
BaseRepresentation
bin1000100101011010…
…1111100000000000
312221121012200211111
42021112233200000
514204414042240
61020400053104
7111051263620
oct21126574000
95847180744
102304440320
11a82884136
12543904194
132a956b270
1417c0a6880
15d749c1ea
hex895af800

2304440320 has 192 divisors, whose sum is σ = 6808052160. Its totient is φ = 729022464.

The previous prime is 2304440317. The next prime is 2304440339. The reversal of 2304440320 is 230444032.

It is a junction number, because it is equal to n+sod(n) for n = 2304440291 and 2304440300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 930604 + ... + 933076.

It is an arithmetic number, because the mean of its divisors is an integer number (35458605).

Almost surely, 22304440320 is an apocalyptic number.

2304440320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2304440320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3404026080).

2304440320 is an abundant number, since it is smaller than the sum of its proper divisors (4503611840).

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

2304440320 is a wasteful number, since it uses less digits than its factorization.

2304440320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2520 (or 2500 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 2304440320 is about 48004.5864475469. The cubic root of 2304440320 is about 1320.8550321966.

Adding to 2304440320 its reverse (230444032), we get a palindrome (2534884352).

The spelling of 2304440320 in words is "two billion, three hundred four million, four hundred forty thousand, three hundred twenty".