Search a number
-
+
3094718112 = 2532173179347
BaseRepresentation
bin1011100001110101…
…1010011010100000
321222200020222011100
42320131122122200
522314221434422
61231030314400
7136455445533
oct27035323240
97880228140
103094718112
111348984582
127244b8a00
133a41c8b65
14215020a1a
15131a537ac
hexb875a6a0

3094718112 has 144 divisors (see below), whose sum is σ = 8926575840. Its totient is φ = 1016941056.

The previous prime is 3094718111. The next prime is 3094718117. The reversal of 3094718112 is 2118174903.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3094718111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8918323 + ... + 8918669.

It is an arithmetic number, because the mean of its divisors is an integer number (61990110).

Almost surely, 23094718112 is an apocalyptic number.

3094718112 is a gapful number since it is divisible by the number (32) 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 3094718112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4463287920).

3094718112 is an abundant number, since it is smaller than the sum of its proper divisors (5831857728).

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

3094718112 is a wasteful number, since it uses less digits than its factorization.

3094718112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 3094718112 is about 55630.1906521989. The cubic root of 3094718112 is about 1457.2711446782.

The spelling of 3094718112 in words is "three billion, ninety-four million, seven hundred eighteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 173 179 288 346 347 358 519 537 692 694 716 1038 1041 1074 1384 1388 1432 1557 1611 2076 2082 2148 2768 2776 2864 3114 3123 3222 4152 4164 4296 5536 5552 5728 6228 6246 6444 8304 8328 8592 11104 12456 12492 12888 16608 16656 17184 24912 24984 25776 30967 33312 49824 49968 51552 60031 61934 62113 92901 99936 120062 123868 124226 180093 185802 186339 240124 247736 248452 278703 360186 371604 372678 480248 495472 496904 540279 557406 559017 720372 743208 745356 960496 990944 993808 1080558 1114812 1118034 1440744 1486416 1490712 1920992 1987616 2161116 2229624 2236068 2881488 2972832 2981424 4322232 4459248 4472136 5762976 5962848 8644464 8918496 8944272 10745549 17288928 17888544 21491098 32236647 42982196 64473294 85964392 96709941 128946588 171928784 193419882 257893176 343857568 386839764 515786352 773679528 1031572704 1547359056 3094718112