Search a number
-
+
3845232 = 24352343
BaseRepresentation
bin1110101010110001110000
321020100200000
432222301300
51441021412
6214230000
744453406
oct16526160
97210600
103845232
112196a86
121355300
13a482b1
14721476
1550e4dc
hex3aac70

3845232 has 120 divisors (see below), whose sum is σ = 11915904. Its totient is φ = 1197504.

The previous prime is 3845221. The next prime is 3845251. The reversal of 3845232 is 2325483.

3845232 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 = 3845196 and 3845205.

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 23 ways as a sum of consecutive naturals, for example, 89403 + ... + 89445.

Almost surely, 23845232 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 3845232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5957952).

3845232 is an abundant number, since it is smaller than the sum of its proper divisors (8070672).

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

3845232 is a wasteful number, since it uses less digits than its factorization.

3845232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 71 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 3845232 is about 1960.9263117211. The cubic root of 3845232 is about 156.6657934663.

The spelling of 3845232 in words is "three million, eight hundred forty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 43 46 48 54 69 72 81 86 92 108 129 138 144 162 172 184 207 216 243 258 276 324 344 368 387 414 432 486 516 552 621 648 688 774 828 972 989 1032 1104 1161 1242 1296 1548 1656 1863 1944 1978 2064 2322 2484 2967 3096 3312 3483 3726 3888 3956 4644 4968 5589 5934 6192 6966 7452 7912 8901 9288 9936 10449 11178 11868 13932 14904 15824 17802 18576 20898 22356 23736 26703 27864 29808 35604 41796 44712 47472 53406 55728 71208 80109 83592 89424 106812 142416 160218 167184 213624 240327 320436 427248 480654 640872 961308 1281744 1922616 3845232