Search a number
-
+
342443424000 = 283533567119
BaseRepresentation
bin1001111101110110011…
…01111111100100000000
31012201220110201100211210
410332323031333210000
521102311004032000
6421152155010120
733512032035306
oct4767315774400
91181813640753
10342443424000
11122258426a17
125644b739940
13263a5191c92
1412808034276
158d93948350
hex4fbb37f900

342443424000 has 144 divisors (see below), whose sum is σ = 1137426151680. Its totient is φ = 91318220800.

The previous prime is 342443423981. The next prime is 342443424017. The reversal of 342443424000 is 424344243.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1687560 + ... + 1879559.

It is an arithmetic number, because the mean of its divisors is an integer number (7898792720).

Almost surely, 2342443424000 is an apocalyptic number.

342443424000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

342443424000 is an abundant number, since it is smaller than the sum of its proper divisors (794982727680).

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

342443424000 is an equidigital number, since it uses as much as digits as its factorization.

342443424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3567153 (or 3567129 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 342443424000 its reverse (424344243), we get a palindrome (342867768243).

The spelling of 342443424000 in words is "three hundred forty-two billion, four hundred forty-three million, four hundred twenty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 256 300 320 375 384 400 480 500 600 640 750 768 800 960 1000 1200 1280 1500 1600 1920 2000 2400 3000 3200 3840 4000 4800 6000 6400 8000 9600 12000 16000 19200 24000 32000 48000 96000 3567119 7134238 10701357 14268476 17835595 21402714 28536952 35671190 42805428 53506785 57073904 71342380 85610856 89177975 107013570 114147808 142684760 171221712 178355950 214027140 228295616 267533925 285369520 342443424 356711900 428054280 445889875 456591232 535067850 570739040 684886848 713423800 856108560 891779750 913182464 1070135700 1141478080 1337669625 1369773696 1426847600 1712217120 1783559500 2140271400 2282956160 2675339250 2739547392 2853695200 3424434240 3567119000 4280542800 4565912320 5350678500 5707390400 6848868480 7134238000 8561085600 10701357000 11414780800 13697736960 14268476000 17122171200 21402714000 22829561600 28536952000 34244342400 42805428000 57073904000 68488684800 85610856000 114147808000 171221712000 342443424000