Search a number
-
+
10442322 = 23211232293
BaseRepresentation
bin100111110101…
…011001010010
3201122112011200
4213311121102
510133123242
61011452030
7154521042
oct47653122
921575150
1010442322
115992520
1235b7016
132217cb7
14155b722
15db404c
hex9f5652

10442322 has 48 divisors (see below), whose sum is σ = 25766208. Its totient is φ = 3025440.

The previous prime is 10442317. The next prime is 10442347. The reversal of 10442322 is 22324401.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10442295 and 10442304.

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 23 ways as a sum of consecutive naturals, for example, 3408 + ... + 5700.

It is an arithmetic number, because the mean of its divisors is an integer number (536796).

Almost surely, 210442322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10442322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12883104).

10442322 is an abundant number, since it is smaller than the sum of its proper divisors (15323886).

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

10442322 is a wasteful number, since it uses less digits than its factorization.

10442322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2335 (or 2332 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 10442322 is about 3231.4581847828. The cubic root of 10442322 is about 218.5742651725.

Adding to 10442322 its reverse (22324401), we get a palindrome (32766723).

The spelling of 10442322 in words is "ten million, four hundred forty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 138 198 207 253 414 506 759 1518 2277 2293 4554 4586 6879 13758 20637 25223 41274 50446 52739 75669 105478 151338 158217 227007 316434 454014 474651 580129 949302 1160258 1740387 3480774 5221161 10442322