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2328141312 = 293373491
BaseRepresentation
bin1000101011000100…
…1001111000000000
320000020210211111000
42022301021320000
514232001010222
61023004052000
7111456606000
oct21261117000
96006724430
102328141312
11a951a2032
1254b834000
132b1449113
141812b6000
15d95ce9ac
hex8ac49e00

2328141312 has 320 divisors, whose sum is σ = 8053056000. Its totient is φ = 663828480.

The previous prime is 2328141289. The next prime is 2328141317. The reversal of 2328141312 is 2131418232.

2328141312 is a `hidden beast` number, since 232 + 8 + 1 + 413 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2328141317) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4741387 + ... + 4741877.

It is an arithmetic number, because the mean of its divisors is an integer number (25165800).

Almost surely, 22328141312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2328141312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4026528000).

2328141312 is an abundant number, since it is smaller than the sum of its proper divisors (5724914688).

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

2328141312 is an frugal number, since it uses more digits than its factorization.

2328141312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 503 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 2328141312 is about 48250.8166977513. The cubic root of 2328141312 is about 1325.3678934760.

Adding to 2328141312 its reverse (2131418232), we get a palindrome (4459559544).

The spelling of 2328141312 in words is "two billion, three hundred twenty-eight million, one hundred forty-one thousand, three hundred twelve".