Search a number
-
+
43368072 = 23311612693
BaseRepresentation
bin1010010101101…
…1111010001000
310000121022210220
42211123322020
542100234242
64145310040
71034423346
oct245337210
9100538726
1043368072
1122531090
1212635320
138ca58a7
145a8c996
153c19bec
hex295be88

43368072 has 64 divisors (see below), whose sum is σ = 120260160. Its totient is φ = 12921600.

The previous prime is 43368067. The next prime is 43368097. The reversal of 43368072 is 27086334.

43368072 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 (33).

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 15 ways as a sum of consecutive naturals, for example, 14758 + ... + 17450.

It is an arithmetic number, because the mean of its divisors is an integer number (1879065).

Almost surely, 243368072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43368072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60130080).

43368072 is an abundant number, since it is smaller than the sum of its proper divisors (76892088).

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

43368072 is a wasteful number, since it uses less digits than its factorization.

43368072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2774 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 43368072 is about 6585.4439485884. The cubic root of 43368072 is about 351.3365818737.

The spelling of 43368072 in words is "forty-three million, three hundred sixty-eight thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 61 66 88 122 132 183 244 264 366 488 671 732 1342 1464 2013 2684 2693 4026 5368 5386 8052 8079 10772 16104 16158 21544 29623 32316 59246 64632 88869 118492 164273 177738 236984 328546 355476 492819 657092 710952 985638 1314184 1807003 1971276 3614006 3942552 5421009 7228012 10842018 14456024 21684036 43368072