Search a number
-
+
3033220344 = 2337311194143
BaseRepresentation
bin1011010011001011…
…0100010011111000
321211101112120002020
42310302310103320
522203001022334
61220552234440
7135110643000
oct26462642370
97741476066
103033220344
1113171a0380
1270799ba20
1339454624b
1420abb3000
1512b456e49
hexb4cb44f8

3033220344 has 512 divisors, whose sum is σ = 10644480000. Its totient is φ = 711244800.

The previous prime is 3033220313. The next prime is 3033220349. The reversal of 3033220344 is 4430223303.

3033220344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3033220349) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 70539987 + ... + 70540029.

It is an arithmetic number, because the mean of its divisors is an integer number (20790000).

Almost surely, 23033220344 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 3033220344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5322240000).

3033220344 is an abundant number, since it is smaller than the sum of its proper divisors (7611259656).

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

3033220344 is a wasteful number, since it uses less digits than its factorization.

3033220344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

The square root of 3033220344 is about 55074.6796994771. The cubic root of 3033220344 is about 1447.5535987980.

Adding to 3033220344 its reverse (4430223303), we get a palindrome (7463443647).

The spelling of 3033220344 in words is "three billion, thirty-three million, two hundred twenty thousand, three hundred forty-four".