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10311444 = 223211132003
BaseRepresentation
bin100111010101…
…011100010100
3201101212122100
4213111130110
510114431234
61005002100
7153434343
oct47253424
921355570
1010311444
115903160
123553330
1321a0560
141525b5a
15d8a399
hex9d5714

10311444 has 72 divisors (see below), whose sum is σ = 30637152. Its totient is φ = 2882880.

The previous prime is 10311439. The next prime is 10311449. The reversal of 10311444 is 44411301.

10311444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10311439) and next prime (10311449).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10311449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4147 + ... + 6149.

It is an arithmetic number, because the mean of its divisors is an integer number (425516).

Almost surely, 210311444 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 10311444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15318576).

10311444 is an abundant number, since it is smaller than the sum of its proper divisors (20325708).

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

10311444 is a wasteful number, since it uses less digits than its factorization.

10311444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2037 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10311444 is about 3211.1437214799. The cubic root of 10311444 is about 217.6572624042.

Adding to 10311444 its reverse (44411301), we get a palindrome (54722745).

The spelling of 10311444 in words is "ten million, three hundred eleven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 198 234 286 396 429 468 572 858 1287 1716 2003 2574 4006 5148 6009 8012 12018 18027 22033 24036 26039 36054 44066 52078 66099 72108 78117 88132 104156 132198 156234 198297 234351 264396 286429 312468 396594 468702 572858 793188 859287 937404 1145716 1718574 2577861 3437148 5155722 10311444