| Base | Representation |
|---|---|
| bin | 1100010100111… |
| … | …11001010000000 |
| 3 | 21012120220002010 |
| 4 | 12022133022000 |
| 5 | 202433143402 |
| 6 | 14132252520 |
| 7 | 2363663511 |
| oct | 612371200 |
| 9 | 235526063 |
| 10 | 103412352 |
| 11 | 5341225a |
| 12 | 2a771140 |
| 13 | 18569a54 |
| 14 | da3ca08 |
| 15 | 912aa6c |
| hex | 629f280 |
103412352 has 64 divisors (see below), whose sum is σ = 278631360. Its totient is φ = 33976320.
The previous prime is 103412341. The next prime is 103412357. The reversal of 103412352 is 253214301.
It is a tau number, because it is divible by the number of its divisors (64).
It is a super-3 number, since 3×1034123523 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is not an unprimeable number, because it can be changed into a prime (103412357) 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 7 ways as a sum of consecutive naturals, for example, 25368 + ... + 29160.
It is an arithmetic number, because the mean of its divisors is an integer number (4353615).
Almost surely, 2103412352 is an apocalyptic number.
103412352 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 103412352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139315680).
103412352 is an abundant number, since it is smaller than the sum of its proper divisors (175219008).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
103412352 is an equidigital number, since it uses as much as digits as its factorization.
103412352 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3881 (or 3869 counting only the distinct ones).
The product of its (nonzero) digits is 720, while the sum is 21.
The square root of 103412352 is about 10169.1863981343. The cubic root of 103412352 is about 469.3795222563.
Adding to 103412352 its reverse (253214301), we get a palindrome (356626653).
The spelling of 103412352 in words is "one hundred three million, four hundred twelve thousand, three hundred fifty-two".
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