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2331434112 = 2737331571
BaseRepresentation
bin1000101011110110…
…1101110010000000
320000111000010100120
42022331231302000
514233321342422
61023202420240
7111526602000
oct21275556200
96014003316
102331434112
11a97040a57
12550961680
132b202cb17
141818d2000
15d9a3045c
hex8af6dc80

2331434112 has 256 divisors, whose sum is σ = 7468032000. Its totient is φ = 643507200.

The previous prime is 2331434057. The next prime is 2331434113. The reversal of 2331434112 is 2114341332.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2331434113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4082787 + ... + 4083357.

It is an arithmetic number, because the mean of its divisors is an integer number (29172000).

Almost surely, 22331434112 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 2331434112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3734016000).

2331434112 is an abundant number, since it is smaller than the sum of its proper divisors (5136597888).

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

2331434112 is an equidigital number, since it uses as much as digits as its factorization.

2331434112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 614 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 2331434112 is about 48284.9263435288. The cubic root of 2331434112 is about 1325.9924425541.

Adding to 2331434112 its reverse (2114341332), we get a palindrome (4445775444).

The spelling of 2331434112 in words is "two billion, three hundred thirty-one million, four hundred thirty-four thousand, one hundred twelve".