Search a number
-
+
3042732 = 2237113789
BaseRepresentation
bin1011100110110110101100
312201120211210
423212312230
51234331412
6145114420
734601640
oct13466654
95646753
103042732
111799060
121028a10
13826c44
14592c20
1540183c
hex2e6dac

3042732 has 96 divisors (see below), whose sum is σ = 9192960. Its totient is φ = 760320.

The previous prime is 3042731. The next prime is 3042749. The reversal of 3042732 is 2372403.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 3042699 and 3042708.

It is not an unprimeable number, because it can be changed into a prime (3042731) 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, 34144 + ... + 34232.

It is an arithmetic number, because the mean of its divisors is an integer number (95760).

Almost surely, 23042732 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 3042732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4596480).

3042732 is an abundant number, since it is smaller than the sum of its proper divisors (6150228).

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

3042732 is a wasteful number, since it uses less digits than its factorization.

3042732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 21.

The square root of 3042732 is about 1744.3428562069. The cubic root of 3042732 is about 144.9065112779.

The spelling of 3042732 in words is "three million, forty-two thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 37 42 44 66 74 77 84 89 111 132 148 154 178 222 231 259 267 308 356 407 444 462 518 534 623 777 814 924 979 1036 1068 1221 1246 1554 1628 1869 1958 2442 2492 2849 2937 3108 3293 3738 3916 4884 5698 5874 6586 6853 7476 8547 9879 11396 11748 13172 13706 17094 19758 20559 23051 27412 34188 36223 39516 41118 46102 69153 72446 82236 92204 108669 138306 144892 217338 253561 276612 434676 507122 760683 1014244 1521366 3042732