Search a number
-
+
3440120112 = 24331113233239
BaseRepresentation
bin1100110100001100…
…0001000100110000
322212202012012122000
43031003001010300
524021132320422
61325205414000
7151151352462
oct31503010460
98782165560
103440120112
111505949180
1280010a300
1342a932240
14248c52132
1515202ecac
hexcd0c1130

3440120112 has 320 divisors, whose sum is σ = 11699251200. Its totient is φ = 954132480.

The previous prime is 3440120111. The next prime is 3440120113. The reversal of 3440120112 is 2110210443.

It is an interprime number because it is at equal distance from previous prime (3440120111) and next prime (3440120113).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3440120111) 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 63 ways as a sum of consecutive naturals, for example, 14393689 + ... + 14393927.

It is an arithmetic number, because the mean of its divisors is an integer number (36560160).

Almost surely, 23440120112 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 3440120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5849625600).

3440120112 is an abundant number, since it is smaller than the sum of its proper divisors (8259131088).

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

3440120112 is a wasteful number, since it uses less digits than its factorization.

3440120112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 3440120112 is about 58652.5371318241. The cubic root of 3440120112 is about 1509.5860321576.

Adding to 3440120112 its reverse (2110210443), we get a palindrome (5550330555).

The spelling of 3440120112 in words is "three billion, four hundred forty million, one hundred twenty thousand, one hundred twelve".