Search a number
-
+
10322304344 = 23111961101207
BaseRepresentation
bin10011001110100000…
…11101110101011000
3222122101020101120022
421213100131311120
5132120002214334
64424134450012
7513540065522
oct114720356530
928571211508
1010322304344
114417743040
122000b03908
13c866c74c1
146dcca0a12
1540632582e
hex26741dd58

10322304344 has 64 divisors (see below), whose sum is σ = 22589625600. Its totient is φ = 4372099200.

The previous prime is 10322304331. The next prime is 10322304347. The reversal of 10322304344 is 44340322301.

10322304344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×103223043442 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10322304347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51389 + ... + 152595.

It is an arithmetic number, because the mean of its divisors is an integer number (352962900).

Almost surely, 210322304344 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 10322304344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11294812800).

10322304344 is an abundant number, since it is smaller than the sum of its proper divisors (12267321256).

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

10322304344 is a wasteful number, since it uses less digits than its factorization.

10322304344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101304 (or 101300 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 10322304344 its reverse (44340322301), we get a palindrome (54662626645).

The spelling of 10322304344 in words is "ten billion, three hundred twenty-two million, three hundred four thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 19 22 38 44 61 76 88 122 152 209 244 418 488 671 836 1159 1342 1672 2318 2684 4636 5368 9272 12749 25498 50996 101207 101992 202414 404828 809656 1113277 1922933 2226554 3845866 4453108 6173627 7691732 8906216 12347254 15383464 21152263 24694508 42304526 49389016 67909897 84609052 117298913 135819794 169218104 234597826 271639588 469195652 543279176 938391304 1290288043 2580576086 5161152172 10322304344