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11340343420 = 22572192272683
BaseRepresentation
bin10101000111110111…
…11110100001111100
31002021022212010122021
422203323332201330
5141211111442140
65113142525524
7551011220500
oct124373764174
932238763567
1011340343420
11489a36794a
122245a368a4
1310b95ac3a3
14798186300
154658bbb4a
hex2a3efe87c

11340343420 has 144 divisors (see below), whose sum is σ = 29300261760. Its totient is φ = 3665886336.

The previous prime is 11340343403. The next prime is 11340343423. The reversal of 11340343420 is 2434304311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11340343423) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4225399 + ... + 4228081.

It is an arithmetic number, because the mean of its divisors is an integer number (203474040).

Almost surely, 211340343420 is an apocalyptic number.

11340343420 is a gapful number since it is divisible by the number (10) 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 11340343420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14650130880).

11340343420 is an abundant number, since it is smaller than the sum of its proper divisors (17959918340).

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

11340343420 is a wasteful number, since it uses less digits than its factorization.

11340343420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2952 (or 2943 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 11340343420 its reverse (2434304311), we get a palindrome (13774647731).

The spelling of 11340343420 in words is "eleven billion, three hundred forty million, three hundred forty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 70 76 95 98 133 140 190 196 227 245 266 380 454 490 532 665 908 931 980 1135 1330 1589 1862 2270 2660 2683 3178 3724 4313 4540 4655 5366 6356 7945 8626 9310 10732 11123 13415 15890 17252 18620 18781 21565 22246 26830 30191 31780 37562 43130 44492 50977 53660 55615 60382 75124 86260 93905 101954 111230 120764 131467 150955 187810 203908 211337 222460 254885 262934 301910 356839 375620 422674 509770 525868 603820 609041 657335 713678 845348 1019540 1056685 1218082 1314670 1427356 1784195 2113370 2436164 2497873 2629340 3045205 3568390 4226740 4263287 4995746 6090410 7136780 8526574 9991492 11571779 12180820 12489365 17053148 21316435 23143558 24978730 29843009 42632870 46287116 49957460 57858895 59686018 81002453 85265740 115717790 119372036 149215045 162004906 231435580 298430090 324009812 405012265 567017171 596860180 810024530 1134034342 1620049060 2268068684 2835085855 5670171710 11340343420