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2324113440 = 2535111923167
BaseRepresentation
bin1000101010000111…
…0010100000100000
312222222020012021120
42022201302200200
514224433112230
61022341452240
7111410431635
oct21241624040
95888205246
102324113440
11a929a0910
1254a411080
132b066896c
1418094818c
15d9086310
hex8a872820

2324113440 has 192 divisors, whose sum is σ = 8407203840. Its totient is φ = 533744640.

The previous prime is 2324113439. The next prime is 2324113489. The reversal of 2324113440 is 443114232.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2324113440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88737 + ... + 111903.

It is an arithmetic number, because the mean of its divisors is an integer number (43787520).

Almost surely, 22324113440 is an apocalyptic number.

2324113440 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 2324113440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4203601920).

2324113440 is an abundant number, since it is smaller than the sum of its proper divisors (6083090400).

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

2324113440 is a wasteful number, since it uses less digits than its factorization.

2324113440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23215 (or 23207 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2324113440 is about 48209.0597294741. The cubic root of 2324113440 is about 1324.6031211960.

Adding to 2324113440 its reverse (443114232), we get a palindrome (2767227672).

The spelling of 2324113440 in words is "two billion, three hundred twenty-four million, one hundred thirteen thousand, four hundred forty".