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3031020440 = 235721725351
BaseRepresentation
bin1011010010101001…
…1011001110011000
321211020101210101022
42310222123032120
522201420123230
61220433142012
7135053151200
oct26452331630
97736353338
103031020440
111315a28578
127070ba908
13393c55b26
1420a79d400
1512b1701e5
hexb4a9b398

3031020440 has 144 divisors (see below), whose sum is σ = 8428918320. Its totient is φ = 977894400.

The previous prime is 3031020439. The next prime is 3031020493. The reversal of 3031020440 is 440201303.

3031020440 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 (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 563765 + ... + 569115.

It is an arithmetic number, because the mean of its divisors is an integer number (58534155).

Almost surely, 23031020440 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 3031020440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4214459160).

3031020440 is an abundant number, since it is smaller than the sum of its proper divisors (5397897880).

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

3031020440 is a wasteful number, since it uses less digits than its factorization.

3031020440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5410 (or 5382 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 3031020440 is about 55054.7040678633. The cubic root of 3031020440 is about 1447.2035583822.

Adding to 3031020440 its reverse (440201303), we get a palindrome (3471221743).

The spelling of 3031020440 in words is "three billion, thirty-one million, twenty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 49 56 68 70 85 98 119 136 140 170 196 238 245 280 289 340 392 476 490 578 595 680 833 952 980 1156 1190 1445 1666 1960 2023 2312 2380 2890 3332 4046 4165 4760 5351 5780 6664 8092 8330 10115 10702 11560 14161 16184 16660 20230 21404 26755 28322 33320 37457 40460 42808 53510 56644 70805 74914 80920 90967 107020 113288 141610 149828 181934 187285 214040 262199 283220 299656 363868 374570 454835 524398 566440 636769 727736 749140 909670 1048796 1273538 1310995 1498280 1546439 1819340 2097592 2547076 2621990 3092878 3183845 3638680 4457383 5094152 5243980 6185756 6367690 7732195 8914766 10487960 10825073 12371512 12735380 15464390 17829532 21650146 22286915 25470760 30928780 35659064 43300292 44573830 54125365 61857560 75775511 86600584 89147660 108250730 151551022 178295320 216501460 303102044 378877555 433002920 606204088 757755110 1515510220 3031020440