Search a number
-
+
4331354112 = 211321723601
BaseRepresentation
bin1000000100010101…
…10011100000000000
3102011212012120211200
410002022303200000
532332311312422
61553443541200
7212222621361
oct40212634000
912155176750
104331354112
111922a334a8
12a0a68a800
13540479937
142d1369b68
151a53c92ac
hex1022b3800

4331354112 has 288 divisors, whose sum is σ = 13844507040. Its totient is φ = 1297612800.

The previous prime is 4331354107. The next prime is 4331354113. The reversal of 4331354112 is 2114531334.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4331354113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7206612 + ... + 7207212.

It is an arithmetic number, because the mean of its divisors is an integer number (48071205).

Almost surely, 24331354112 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 4331354112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6922253520).

4331354112 is an abundant number, since it is smaller than the sum of its proper divisors (9513152928).

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

4331354112 is a wasteful number, since it uses less digits than its factorization.

4331354112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 646 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 4331354112 is about 65813.0238782568. The cubic root of 4331354112 is about 1630.0761644062.

Adding to 4331354112 its reverse (2114531334), we get a palindrome (6445885446).

The spelling of 4331354112 in words is "four billion, three hundred thirty-one million, three hundred fifty-four thousand, one hundred twelve".