Base | Representation |
---|---|
bin | 111101000000001… |
… | …000010101011000 |
3 | 2122022210100122220 |
4 | 331000020111120 |
5 | 4044000204222 |
6 | 245315544040 |
7 | 34235063442 |
oct | 7500102530 |
9 | 2568710586 |
10 | 1023444312 |
11 | 485786950 |
12 | 2468bb020 |
13 | 134058267 |
14 | 99cd1492 |
15 | 5ecb2b5c |
hex | 3d008558 |
1023444312 has 128 divisors (see below), whose sum is σ = 2850059520. Its totient is φ = 303680000.
The previous prime is 1023444311. The next prime is 1023444341. The reversal of 1023444312 is 2134443201.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1023444311) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3492838 + ... + 3493130.
It is an arithmetic number, because the mean of its divisors is an integer number (22266090).
Almost surely, 21023444312 is an apocalyptic number.
1023444312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1023444312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425029760).
1023444312 is an abundant number, since it is smaller than the sum of its proper divisors (1826615208).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1023444312 is a wasteful number, since it uses less digits than its factorization.
1023444312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 545 (or 541 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 24.
The square root of 1023444312 is about 31991.3161967431. The cubic root of 1023444312 is about 1007.7544832257.
Adding to 1023444312 its reverse (2134443201), we get a palindrome (3157887513).
The spelling of 1023444312 in words is "one billion, twenty-three million, four hundred forty-four thousand, three hundred twelve".
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