Search a number
-
+
1143422340 = 2235711391931
BaseRepresentation
bin100010000100111…
…0011110110000100
32221200112212120120
41010021303312010
54320204003330
6305243301540
740222633554
oct10411636604
92850485516
101143422340
11537483145
1227ab1a8b0
13152b75188
14abc03164
156a5b1c10
hex44273d84

1143422340 has 96 divisors (see below), whose sum is σ = 3271726080. Its totient is φ = 298300800.

The previous prime is 1143422303. The next prime is 1143422347. The reversal of 1143422340 is 432243411.

It is a super-2 number, since 2×11434223402 = 2614829295222151200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1143422340.

It is not an unprimeable number, because it can be changed into a prime (1143422347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 591175 + ... + 593105.

It is an arithmetic number, because the mean of its divisors is an integer number (34080480).

Almost surely, 21143422340 is an apocalyptic number.

1143422340 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 1143422340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635863040).

1143422340 is an abundant number, since it is smaller than the sum of its proper divisors (2128303740).

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

1143422340 is a wasteful number, since it uses less digits than its factorization.

1143422340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2153 (or 2151 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1143422340 is about 33814.5285343445. The cubic root of 1143422340 is about 1045.6882411727.

Adding to 1143422340 its reverse (432243411), we get a palindrome (1575665751).

The spelling of 1143422340 in words is "one billion, one hundred forty-three million, four hundred twenty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 139 142 213 278 284 355 417 426 556 695 710 834 852 1065 1390 1420 1668 1931 2085 2130 2780 3862 4170 4260 5793 7724 8340 9655 9869 11586 19310 19738 23172 28965 29607 38620 39476 49345 57930 59214 98690 115860 118428 137101 148035 197380 268409 274202 296070 411303 536818 548404 592140 685505 805227 822606 1073636 1342045 1371010 1610454 1645212 2056515 2684090 2742020 3220908 4026135 4113030 5368180 8052270 8226060 16104540 19057039 38114078 57171117 76228156 95285195 114342234 190570390 228684468 285855585 381140780 571711170 1143422340