Search a number
-
+
4010340312 = 233211371071279
BaseRepresentation
bin1110111100001000…
…1110111111011000
3101100111011101200200
43233002032333120
531203121342222
61501535302200
7201244221156
oct35702167730
911314141620
104010340312
111778807040
1293b07a960
134bbb02144
142a08863d6
15187118eac
hexef08efd8

4010340312 has 192 divisors, whose sum is σ = 12292300800. Its totient is φ = 1170443520.

The previous prime is 4010340289. The next prime is 4010340319. The reversal of 4010340312 is 2130430104.

4010340312 is a `hidden beast` number, since 4 + 0 + 10 + 340 + 312 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4010340319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3134889 + ... + 3136167.

It is an arithmetic number, because the mean of its divisors is an integer number (64022400).

Almost surely, 24010340312 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 4010340312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6146150400).

4010340312 is an abundant number, since it is smaller than the sum of its proper divisors (8281960488).

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

4010340312 is a wasteful number, since it uses less digits than its factorization.

4010340312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4010340312 is about 63327.2477848201. The cubic root of 4010340312 is about 1588.7677268357.

Adding to 4010340312 its reverse (2130430104), we get a palindrome (6140770416).

The spelling of 4010340312 in words is "four billion, ten million, three hundred forty thousand, three hundred twelve".