Search a number
-
+
43934130 = 23352931181
BaseRepresentation
bin1010011110011…
…0000110110010
310001200002022000
42213212012302
542221343010
64205354430
71042301562
oct247460662
9101602260
1043934130
11228883a9
1212868a16
139143436
145b98da2
153ccc7c0
hex29e61b2

43934130 has 128 divisors (see below), whose sum is σ = 125798400. Its totient is φ = 10886400.

The previous prime is 43934129. The next prime is 43934153. The reversal of 43934130 is 3143934.

43934130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 43934094 and 43934103.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 242640 + ... + 242820.

It is an arithmetic number, because the mean of its divisors is an integer number (982800).

Almost surely, 243934130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43934130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62899200).

43934130 is an abundant number, since it is smaller than the sum of its proper divisors (81864270).

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

43934130 is a wasteful number, since it uses less digits than its factorization.

43934130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 43934130 is about 6628.2825829924. The cubic root of 43934130 is about 352.8585758171.

The spelling of 43934130 in words is "forty-three million, nine hundred thirty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 31 45 54 58 62 87 90 93 135 145 155 174 181 186 261 270 279 290 310 362 435 465 522 543 558 783 837 870 899 905 930 1086 1305 1395 1566 1629 1674 1798 1810 2610 2697 2715 2790 3258 3915 4185 4495 4887 5249 5394 5430 5611 7830 8091 8145 8370 8990 9774 10498 11222 13485 15747 16182 16290 16833 24273 24435 26245 26970 28055 31494 33666 40455 47241 48546 48870 50499 52490 56110 78735 80910 84165 94482 100998 121365 141723 151497 157470 162719 168330 236205 242730 252495 283446 302994 325438 472410 488157 504990 708615 757485 813595 976314 1417230 1464471 1514970 1627190 2440785 2928942 4393413 4881570 7322355 8786826 14644710 21967065 43934130