Search a number
-
+
3342210444 = 22332937151191
BaseRepresentation
bin1100011100110110…
…0001010110001100
322121220221212211000
43013031201112030
523321101213234
61311351100300
7145552214526
oct30715412614
98556855730
103342210444
1114656551a1
12793371690
13413571021
14239c46a16
1514863e899
hexc736158c

3342210444 has 192 divisors, whose sum is σ = 9315532800. Its totient is φ = 1034208000.

The previous prime is 3342210439. The next prime is 3342210449. The reversal of 3342210444 is 4440122433.

It is a happy number.

3342210444 is a `hidden beast` number, since 3 + 3 + 4 + 2 + 210 + 444 = 666.

It is an interprime number because it is at equal distance from previous prime (3342210439) and next prime (3342210449).

It is a super-2 number, since 2×33422104442 = 22340741303965354272, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3342210449) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17498389 + ... + 17498579.

It is an arithmetic number, because the mean of its divisors is an integer number (48518400).

Almost surely, 23342210444 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 3342210444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4657766400).

3342210444 is an abundant number, since it is smaller than the sum of its proper divisors (5973322356).

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

3342210444 is a wasteful number, since it uses less digits than its factorization.

3342210444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 3342210444 is about 57811.8538363890. The cubic root of 3342210444 is about 1495.1264709583.

Adding to 3342210444 its reverse (4440122433), we get a palindrome (7782332877).

The spelling of 3342210444 in words is "three billion, three hundred forty-two million, two hundred ten thousand, four hundred forty-four".