| Base | Representation |
|---|---|
| bin | 111100001110000… |
| … | …010010010100000 |
| 3 | 2121102002012000000 |
| 4 | 330032002102200 |
| 5 | 4032114443402 |
| 6 | 244130300000 |
| 7 | 34015341030 |
| oct | 7416022240 |
| 9 | 2542065000 |
| 10 | 1010312352 |
| 11 | 479327695 |
| 12 | 242427600 |
| 13 | 13140ac7a |
| 14 | 982738c0 |
| 15 | 5da6bc1c |
| hex | 3c3824a0 |
1010312352 has 336 divisors, whose sum is σ = 3569650560. Its totient is φ = 275083776.
The previous prime is 1010312309. The next prime is 1010312357. The reversal of 1010312352 is 2532130101.
1010312352 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 312 + 352 = 666.
It is a tau number, because it is divible by the number of its divisors (336).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (1010312357) 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 55 ways as a sum of consecutive naturals, for example, 3755674 + ... + 3755942.
It is an arithmetic number, because the mean of its divisors is an integer number (10623960).
Almost surely, 21010312352 is an apocalyptic number.
1010312352 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 1010312352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1784825280).
1010312352 is an abundant number, since it is smaller than the sum of its proper divisors (2559338208).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1010312352 is an equidigital number, since it uses as much as digits as its factorization.
1010312352 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 327 (or 304 counting only the distinct ones).
The product of its (nonzero) digits is 180, while the sum is 18.
The square root of 1010312352 is about 31785.4109930956. The cubic root of 1010312352 is about 1003.4257018329.
Adding to 1010312352 its reverse (2532130101), we get a palindrome (3542442453).
The spelling of 1010312352 in words is "one billion, ten million, three hundred twelve thousand, three hundred fifty-two".
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