| Base | Representation |
|---|---|
| bin | 111100111111101… |
| … | …010000101010000 |
| 3 | 2122022120001200120 |
| 4 | 330333222011100 |
| 5 | 4043432223100 |
| 6 | 245313150240 |
| 7 | 34234036254 |
| oct | 7477520520 |
| 9 | 2568501616 |
| 10 | 1023320400 |
| 11 | 485701843 |
| 12 | 24685b380 |
| 13 | 134013a3b |
| 14 | 99c9c264 |
| 15 | 5ec8b0a0 |
| hex | 3cfea150 |
1023320400 has 120 divisors (see below), whose sum is σ = 3286066464. Its totient is φ = 272217600.
The previous prime is 1023320381. The next prime is 1023320401. The reversal of 1023320400 is 40233201.
1023320400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 1023320400.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1023320401) 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, 667635 + ... + 669165.
Almost surely, 21023320400 is an apocalyptic number.
1023320400 is a gapful number since it is divisible by the number (10) 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 1023320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643033232).
1023320400 is an abundant number, since it is smaller than the sum of its proper divisors (2262746064).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1023320400 is a wasteful number, since it uses less digits than its factorization.
1023320400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2109 (or 2098 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 15.
The square root of 1023320400 is about 31989.3794875737. The cubic root of 1023320400 is about 1007.7138107918.
Adding to 1023320400 its reverse (40233201), we get a palindrome (1063553601).
The spelling of 1023320400 in words is "one billion, twenty-three million, three hundred twenty thousand, four hundred".
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