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3014134020 = 22325431732251
BaseRepresentation
bin1011001110101000…
…0000100100000100
321210001121212120100
42303222000210010
522133104242040
61215031204100
7134456500512
oct26352004404
97701555510
103014134020
111307444557
12701516630
133905c2971
142084454b2
15129936b30
hexb3a80904

3014134020 has 144 divisors (see below), whose sum is σ = 9413756352. Its totient is φ = 780192000.

The previous prime is 3014133943. The next prime is 3014134021. The reversal of 3014134020 is 204314103.

3014134020 is a `hidden beast` number, since 301 + 4 + 1 + 340 + 20 = 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 = 3014133984 and 3014134002.

It is not an unprimeable number, because it can be changed into a prime (3014134021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1337895 + ... + 1340145.

It is an arithmetic number, because the mean of its divisors is an integer number (65373308).

Almost surely, 23014134020 is an apocalyptic number.

3014134020 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 3014134020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4706878176).

3014134020 is an abundant number, since it is smaller than the sum of its proper divisors (6399622332).

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

3014134020 is a wasteful number, since it uses less digits than its factorization.

3014134020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2482 (or 2477 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3014134020 is about 54901.1294965778. The cubic root of 3014134020 is about 1444.5109985946.

Adding to 3014134020 its reverse (204314103), we get a palindrome (3218448123).

The spelling of 3014134020 in words is "three billion, fourteen million, one hundred thirty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 173 180 215 258 346 387 430 516 519 645 692 774 860 865 1038 1290 1548 1557 1730 1935 2076 2251 2580 2595 3114 3460 3870 4502 5190 6228 6753 7439 7740 7785 9004 10380 11255 13506 14878 15570 20259 22317 22510 27012 29756 31140 33765 37195 40518 44634 45020 66951 67530 74390 81036 89268 96793 101295 111585 133902 135060 148780 193586 202590 223170 267804 290379 334755 387172 389423 405180 446340 483965 580758 669510 778846 871137 967930 1161516 1168269 1339020 1451895 1557692 1742274 1935860 1947115 2336538 2903790 3484548 3504807 3894230 4355685 4673076 5807580 5841345 7009614 7788460 8711370 11682690 14019228 16745189 17422740 17524035 23365380 33490378 35048070 50235567 66980756 70096140 83725945 100471134 150706701 167451890 200942268 251177835 301413402 334903780 502355670 602826804 753533505 1004711340 1507067010 3014134020