Search a number
-
+
40321024 = 21423107
BaseRepresentation
bin1001100111010…
…0000000000000
32210212112001021
42121310000000
540310233044
64000115224
7666503002
oct231640000
983775037
1040321024
112083a867
1211605b14
1384799c3
1454d8372
153816e84
hex2674000

40321024 has 60 divisors (see below), whose sum is σ = 84932064. Its totient is φ = 19103744.

The previous prime is 40321019. The next prime is 40321031. The reversal of 40321024 is 42012304.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 40320989 and 40321007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 376779 + ... + 376885.

Almost surely, 240321024 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 40321024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42466032).

40321024 is an abundant number, since it is smaller than the sum of its proper divisors (44611040).

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

40321024 is an equidigital number, since it uses as much as digits as its factorization.

40321024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 40321024 is about 6349.8837784640. The cubic root of 40321024 is about 342.9076581654.

Adding to 40321024 its reverse (42012304), we get a palindrome (82333328).

The spelling of 40321024 in words is "forty million, three hundred twenty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 107 128 184 214 256 368 428 512 736 856 1024 1472 1712 2048 2461 2944 3424 4096 4922 5888 6848 8192 9844 11776 13696 16384 19688 23552 27392 39376 47104 54784 78752 94208 109568 157504 188416 219136 315008 376832 438272 630016 876544 1260032 1753088 2520064 5040128 10080256 20160512 40321024