Search a number
-
+
3113346360 = 233531183423
BaseRepresentation
bin1011100110010001…
…1110010100111000
322000222022101022110
42321210132110320
522334004040420
61232533452320
7140103002355
oct27144362470
98028271273
103113346360
111358448223
1272a7a10a0
133a801baa7
142176ad62c
151334d2ee0
hexb991e538

3113346360 has 64 divisors (see below), whose sum is σ = 9370183680. Its totient is φ = 827546240.

The previous prime is 3113346349. The next prime is 3113346361. The reversal of 3113346360 is 636433113.

3113346360 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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3113346361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4392 + ... + 79031.

It is an arithmetic number, because the mean of its divisors is an integer number (146409120).

Almost surely, 23113346360 is an apocalyptic number.

3113346360 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 3113346360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4685091840).

3113346360 is an abundant number, since it is smaller than the sum of its proper divisors (6256837320).

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

3113346360 is a wasteful number, since it uses less digits than its factorization.

3113346360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83748 (or 83744 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

The square root of 3113346360 is about 55797.3687551662. The cubic root of 3113346360 is about 1460.1892480022.

Adding to 3113346360 its reverse (636433113), we get a palindrome (3749779473).

The spelling of 3113346360 in words is "three billion, one hundred thirteen million, three hundred forty-six thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 311 622 933 1244 1555 1866 2488 3110 3732 4665 6220 7464 9330 12440 18660 37320 83423 166846 250269 333692 417115 500538 667384 834230 1001076 1251345 1668460 2002152 2502690 3336920 5005380 10010760 25944553 51889106 77833659 103778212 129722765 155667318 207556424 259445530 311334636 389168295 518891060 622669272 778336590 1037782120 1556673180 3113346360