Base | Representation |
---|---|
bin | 111100111111111… |
… | …000111011100000 |
3 | 2122022200011010000 |
4 | 330333320323200 |
5 | 4043441144331 |
6 | 245314340000 |
7 | 34234411464 |
oct | 7477707340 |
9 | 2568604100 |
10 | 1023381216 |
11 | 485743500 |
12 | 24688a600 |
13 | 134035620 |
14 | 99cb64a4 |
15 | 5ec9e0e6 |
hex | 3cff8ee0 |
1023381216 has 360 divisors, whose sum is σ = 3576894552. Its totient is φ = 285120000.
The previous prime is 1023381199. The next prime is 1023381221. The reversal of 1023381216 is 6121833201.
It is a happy number.
It is a super-2 number, since 2×10233812162 = 2094618226523277312, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a self number, because there is not a number n which added to its sum of digits gives 1023381216.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4077091 + ... + 4077341.
Almost surely, 21023381216 is an apocalyptic number.
1023381216 is a gapful number since it is divisible by the number (16) 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 1023381216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788447276).
1023381216 is an abundant number, since it is smaller than the sum of its proper divisors (2553513336).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1023381216 is a wasteful number, since it uses less digits than its factorization.
1023381216 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 308 (or 280 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 27.
The square root of 1023381216 is about 31990.3300389352. The cubic root of 1023381216 is about 1007.7337732294.
The spelling of 1023381216 in words is "one billion, twenty-three million, three hundred eighty-one thousand, two hundred sixteen".
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