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1143104340 = 2235722931327
BaseRepresentation
bin100010000100010…
…0110001101010100
32221122221201100210
41010020212031110
54320113314330
6305232405420
740220140500
oct10410461524
92848851323
101143104340
11537286234
1227a9a6870
13152a93501
14abb5d300
156a54c8b0
hex44226354

1143104340 has 144 divisors (see below), whose sum is σ = 3738776832. Its totient is φ = 260193024.

The previous prime is 1143104329. The next prime is 1143104363. The reversal of 1143104340 is 434013411.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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, 860757 + ... + 862083.

It is an arithmetic number, because the mean of its divisors is an integer number (25963728).

Almost surely, 21143104340 is an apocalyptic number.

1143104340 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 1143104340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1869388416).

1143104340 is an abundant number, since it is smaller than the sum of its proper divisors (2595672492).

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

1143104340 is a wasteful number, since it uses less digits than its factorization.

1143104340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1143104340 is about 33809.8260865092. The cubic root of 1143104340 is about 1045.5912925415.

Adding to 1143104340 its reverse (434013411), we get a palindrome (1577117751).

The spelling of 1143104340 in words is "one billion, one hundred forty-three million, one hundred four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 293 294 420 490 586 588 735 879 980 1172 1327 1465 1470 1758 2051 2654 2930 2940 3516 3981 4102 4395 5308 5860 6153 6635 7962 8204 8790 9289 10255 12306 13270 14357 15924 17580 18578 19905 20510 24612 26540 27867 28714 30765 37156 39810 41020 43071 46445 55734 57428 61530 65023 71785 79620 86142 92890 111468 123060 130046 139335 143570 172284 185780 195069 215355 260092 278670 287140 325115 388811 390138 430710 557340 650230 777622 780276 861420 975345 1166433 1300460 1555244 1944055 1950690 2332866 2721677 3888110 3901380 4665732 5443354 5832165 7776220 8165031 10886708 11664330 13608385 16330062 19051739 23328660 27216770 32660124 38103478 40825155 54433540 57155217 76206956 81650310 95258695 114310434 163300620 190517390 228620868 285776085 381034780 571552170 1143104340