Search a number
-
+
3105344 = 26112401
BaseRepresentation
bin1011110110001001000000
312211202201202
423312021000
51243332334
6150320332
735252324
oct13661100
95752652
103105344
111831100
1210590a8
138495a8
145ab984
1541517e
hex2f6240

3105344 has 42 divisors (see below), whose sum is σ = 6790182. Its totient is φ = 1408000.

The previous prime is 3105343. The next prime is 3105371. The reversal of 3105344 is 4435013.

It can be written as a sum of positive squares in only one way, i.e., 3097600 + 7744 = 1760^2 + 88^2 .

It is a super-2 number, since 2×31053442 = 19286322716672, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3105343) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7544 + ... + 7944.

It is an arithmetic number, because the mean of its divisors is an integer number (161671).

Almost surely, 23105344 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 3105344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3395091).

3105344 is an abundant number, since it is smaller than the sum of its proper divisors (3684838).

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

3105344 is a wasteful number, since it uses less digits than its factorization.

3105344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 3105344 is about 1762.1986267161. The cubic root of 3105344 is about 145.8937113435.

The spelling of 3105344 in words is "three million, one hundred five thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 401 484 704 802 968 1604 1936 3208 3872 4411 6416 7744 8822 12832 17644 25664 35288 48521 70576 97042 141152 194084 282304 388168 776336 1552672 3105344