Search a number
-
+
3440213316 = 2233234779373
BaseRepresentation
bin1100110100001101…
…0111110101000100
322212202100221111000
43031003113311010
524021143311231
61325211413300
7151152221301
oct31503276504
98782327430
103440213316
111505a02201
12800154230
1342a9657a7
14248c780a8
1515204c6e6
hexcd0d7d44

3440213316 has 192 divisors, whose sum is σ = 9650995200. Its totient is φ = 1057110912.

The previous prime is 3440213311. The next prime is 3440213341. The reversal of 3440213316 is 6133120443.

3440213316 is a `hidden beast` number, since 3 + 440 + 213 + 3 + 1 + 6 = 666.

3440213316 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 (27).

It is a self number, because there is not a number n which added to its sum of digits gives 3440213316.

It is not an unprimeable number, because it can be changed into a prime (3440213311) 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, 9222906 + ... + 9223278.

It is an arithmetic number, because the mean of its divisors is an integer number (50265600).

Almost surely, 23440213316 is an apocalyptic number.

3440213316 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3440213316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4825497600).

3440213316 is an abundant number, since it is smaller than the sum of its proper divisors (6210781884).

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

3440213316 is a wasteful number, since it uses less digits than its factorization.

3440213316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3440213316 is about 58653.3316700765. The cubic root of 3440213316 is about 1509.5996652267.

Adding to 3440213316 its reverse (6133120443), we get a palindrome (9573333759).

The spelling of 3440213316 in words is "three billion, four hundred forty million, two hundred thirteen thousand, three hundred sixteen".