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3018131340 = 2235721134057
BaseRepresentation
bin1011001111100101…
…0000011110001100
321210100010221212020
42303321100132030
522140120200330
61215253010140
7134535456510
oct26371203614
97710127766
103018131340
111309724824
12702923950
13391392243
14208ba6140
15129e76210
hexb3e5078c

3018131340 has 96 divisors (see below), whose sum is σ = 9704077824. Its totient is φ = 686568960.

The previous prime is 3018131317. The next prime is 3018131353. The reversal of 3018131340 is 431318103.

3018131340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3018131340.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71592 + ... + 105648.

It is an arithmetic number, because the mean of its divisors is an integer number (101084144).

Almost surely, 23018131340 is an apocalyptic number.

3018131340 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 3018131340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4852038912).

3018131340 is an abundant number, since it is smaller than the sum of its proper divisors (6685946484).

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

3018131340 is a wasteful number, since it uses less digits than its factorization.

3018131340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34287 (or 34285 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 3018131340 is about 54937.5221501662. The cubic root of 3018131340 is about 1445.1492827576.

Adding to 3018131340 its reverse (431318103), we get a palindrome (3449449443).

The spelling of 3018131340 in words is "three billion, eighteen million, one hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 211 420 422 633 844 1055 1266 1477 2110 2532 2954 3165 4220 4431 5908 6330 7385 8862 12660 14770 17724 22155 29540 34057 44310 68114 88620 102171 136228 170285 204342 238399 340570 408684 476798 510855 681140 715197 953596 1021710 1191995 1430394 2043420 2383990 2860788 3575985 4767980 7151970 7186027 14303940 14372054 21558081 28744108 35930135 43116162 50302189 71860270 86232324 100604378 107790405 143720540 150906567 201208756 215580810 251510945 301813134 431161620 503021890 603626268 754532835 1006043780 1509065670 3018131340