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869441344 = 2629479967
BaseRepresentation
bin110011110100101…
…001111101000000
32020121000012022021
4303310221331000
53240034110334
6222135051224
730355062262
oct6364517500
92217005267
10869441344
11406860172
12203210b14
1310b187345
1483683b32
15514e23b4
hex33d29f40

869441344 has 56 divisors (see below), whose sum is σ = 1822947840. Its totient is φ = 410758656.

The previous prime is 869441333. The next prime is 869441369. The reversal of 869441344 is 443144968.

869441344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 869441344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82249 + ... + 92215.

It is an arithmetic number, because the mean of its divisors is an integer number (32552640).

Almost surely, 2869441344 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 869441344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911473920).

869441344 is an abundant number, since it is smaller than the sum of its proper divisors (953506496).

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

869441344 is a wasteful number, since it uses less digits than its factorization.

869441344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10055 (or 10045 counting only the distinct ones).

The product of its digits is 331776, while the sum is 43.

The square root of 869441344 is about 29486.2907806323. The cubic root of 869441344 is about 954.4358917371.

It can be divided in two parts, 86944 and 1344, that added together give a palindrome (88288).

The spelling of 869441344 in words is "eight hundred sixty-nine million, four hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 29 32 47 58 64 94 116 188 232 376 464 752 928 1363 1504 1856 2726 3008 5452 9967 10904 19934 21808 39868 43616 79736 87232 159472 289043 318944 468449 578086 637888 936898 1156172 1873796 2312344 3747592 4624688 7495184 9249376 13585021 14990368 18498752 27170042 29980736 54340084 108680168 217360336 434720672 869441344