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3117294312 = 233111932317
BaseRepresentation
bin1011100111001110…
…0010001011101000
322001020201221212220
42321303202023220
522341011404222
61233154234040
7140151364416
oct27163421350
98036657786
103117294312
11135a6a43a0
1272bb85920
133a8aa1a62
1421801a2b6
15133a12b5c
hexb9ce22e8

3117294312 has 96 divisors (see below), whose sum is σ = 8572949280. Its totient is φ = 936775680.

The previous prime is 3117294287. The next prime is 3117294347. The reversal of 3117294312 is 2134927113.

3117294312 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-3 number, since 3×31172943123 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9833578 + ... + 9833894.

It is an arithmetic number, because the mean of its divisors is an integer number (89301555).

Almost surely, 23117294312 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 3117294312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4286474640).

3117294312 is an abundant number, since it is smaller than the sum of its proper divisors (5455654968).

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

3117294312 is a wasteful number, since it uses less digits than its factorization.

3117294312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 526 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 3117294312 is about 55832.7351291337. The cubic root of 3117294312 is about 1460.8061963914.

The spelling of 3117294312 in words is "three billion, one hundred seventeen million, two hundred ninety-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 193 264 317 386 579 634 772 951 1158 1268 1544 1902 2123 2316 2536 3487 3804 4246 4632 6369 6974 7608 8492 10461 12738 13948 16984 20922 25476 27896 37249 41844 50952 61181 74498 83688 111747 122362 148996 183543 223494 244724 297992 367086 409739 446988 489448 672991 734172 819478 893976 1229217 1345982 1468344 1638956 2018973 2458434 2691964 3277912 4037946 4916868 5383928 8075892 9833736 11807933 16151784 23615866 35423799 47231732 70847598 94463464 129887263 141695196 259774526 283390392 389661789 519549052 779323578 1039098104 1558647156 3117294312