Search a number
-
+
1043434140 = 2235719712611
BaseRepresentation
bin111110001100011…
…000101010011100
32200201101221112220
4332030120222130
54114104343030
6251312225340
734600021020
oct7614305234
92621357486
101043434140
11495a9a571
1225153b250
13138236b68
149c816380
1561910a10
hex3e318a9c

1043434140 has 96 divisors (see below), whose sum is σ = 3356204544. Its totient is φ = 237269760.

The previous prime is 1043434129. The next prime is 1043434157. The reversal of 1043434140 is 414343401.

1043434140 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 1043434140.

It is a congruent number.

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, 76435 + ... + 89045.

It is an arithmetic number, because the mean of its divisors is an integer number (34960464).

Almost surely, 21043434140 is an apocalyptic number.

1043434140 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 1043434140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678102272).

1043434140 is an abundant number, since it is smaller than the sum of its proper divisors (2312770404).

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

1043434140 is a wasteful number, since it uses less digits than its factorization.

1043434140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12827 (or 12825 counting only the distinct ones).

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

The square root of 1043434140 is about 32302.2311922876. The cubic root of 1043434140 is about 1014.2733488824.

Adding to 1043434140 its reverse (414343401), we get a palindrome (1457777541).

The spelling of 1043434140 in words is "one billion, forty-three million, four hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 197 210 394 420 591 788 985 1182 1379 1970 2364 2758 2955 3940 4137 5516 5910 6895 8274 11820 12611 13790 16548 20685 25222 27580 37833 41370 50444 63055 75666 82740 88277 126110 151332 176554 189165 252220 264831 353108 378330 441385 529662 756660 882770 1059324 1324155 1765540 2484367 2648310 4968734 5296620 7453101 9937468 12421835 14906202 17390569 24843670 29812404 34781138 37265505 49687340 52171707 69562276 74531010 86952845 104343414 149062020 173905690 208686828 260858535 347811380 521717070 1043434140