Search a number
-
+
3012313320 = 2333511324683
BaseRepresentation
bin1011001110001100…
…0100000011101000
321202221012101001000
42303203010003220
522132123011240
61214524155000
7134435145402
oct26343040350
97687171030
103012313320
111306410645
12700998a60
13390106023
142080cdb72
151296c7430
hexb38c40e8

3012313320 has 128 divisors (see below), whose sum is σ = 10130313600. Its totient is φ = 796142592.

The previous prime is 3012313309. The next prime is 3012313321. The reversal of 3012313320 is 233132103.

3012313320 is a `hidden beast` number, since 30 + 1 + 2 + 313 + 320 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3012313293 and 3012313302.

It is not an unprimeable number, because it can be changed into a prime (3012313321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109699 + ... + 134381.

It is an arithmetic number, because the mean of its divisors is an integer number (79143075).

Almost surely, 23012313320 is an apocalyptic number.

3012313320 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 3012313320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5065156800).

3012313320 is an abundant number, since it is smaller than the sum of its proper divisors (7118000280).

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

3012313320 is a wasteful number, since it uses less digits than its factorization.

3012313320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24816 (or 24806 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3012313320 is about 54884.5453657038. The cubic root of 3012313320 is about 1444.2200857493.

Adding to 3012313320 its reverse (233132103), we get a palindrome (3245445423).

The spelling of 3012313320 in words is "three billion, twelve million, three hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 113 120 135 180 216 226 270 339 360 452 540 565 678 904 1017 1080 1130 1356 1695 2034 2260 2712 3051 3390 4068 4520 5085 6102 6780 8136 10170 12204 13560 15255 20340 24408 24683 30510 40680 49366 61020 74049 98732 122040 123415 148098 197464 222147 246830 296196 370245 444294 493660 592392 666441 740490 888588 987320 1110735 1332882 1480980 1777176 2221470 2665764 2789179 2961960 3332205 4442940 5331528 5578358 6664410 8367537 8885880 11156716 13328820 13945895 16735074 22313432 25102611 26657640 27891790 33470148 41837685 50205222 55783580 66940296 75307833 83675370 100410444 111567160 125513055 150615666 167350740 200820888 251026110 301231332 334701480 376539165 502052220 602462664 753078330 1004104440 1506156660 3012313320