Search a number
-
+
3340313340 = 22357213175397
BaseRepresentation
bin1100011100011001…
…0010001011111100
322121210101111110220
43013012102023330
523320110011330
61311242301340
7145530123600
oct30706221374
98553344426
103340313340
111464579941
127927b7850
13413058690
142398b1500
151483b7710
hexc71922fc

3340313340 has 576 divisors, whose sum is σ = 12770400384. Its totient is φ = 644087808.

The previous prime is 3340313321. The next prime is 3340313363. The reversal of 3340313340 is 433130433.

3340313340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33403133402 = 22315386418763911200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3340313340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34436172 + ... + 34436268.

It is an arithmetic number, because the mean of its divisors is an integer number (22170834).

Almost surely, 23340313340 is an apocalyptic number.

3340313340 is a gapful number since it is divisible by the number (30) 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 3340313340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6385200192).

3340313340 is an abundant number, since it is smaller than the sum of its proper divisors (9430087044).

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

3340313340 is a wasteful number, since it uses less digits than its factorization.

3340313340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

The square root of 3340313340 is about 57795.4439380822. The cubic root of 3340313340 is about 1494.8435297439.

Adding to 3340313340 its reverse (433130433), we get a palindrome (3773443773).

The spelling of 3340313340 in words is "three billion, three hundred forty million, three hundred thirteen thousand, three hundred forty".