| Base | Representation |
|---|---|
| bin | 10100110111100… |
| … | …100110110110000 |
| 3 | 220101210121000120 |
| 4 | 110313210312300 |
| 5 | 1204112110300 |
| 6 | 54424050240 |
| 7 | 11450625123 |
| oct | 2467446660 |
| 9 | 811717016 |
| 10 | 350113200 |
| 11 | 16a6a2258 |
| 12 | 99303980 |
| 13 | 576c5898 |
| 14 | 346da3ba |
| 15 | 20b0c3a0 |
| hex | 14de4db0 |
350113200 has 120 divisors (see below), whose sum is σ = 1130136000. Its totient is φ = 92647680.
The previous prime is 350113193. The next prime is 350113207. The reversal of 350113200 is 2311053.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (350113193) and next prime (350113207).
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 350113200.
It is not an unprimeable number, because it can be changed into a prime (350113207) 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, 165751 + ... + 167849.
It is an arithmetic number, because the mean of its divisors is an integer number (9417800).
Almost surely, 2350113200 is an apocalyptic number.
350113200 is a gapful number since it is divisible by the number (30) 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 350113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565068000).
350113200 is an abundant number, since it is smaller than the sum of its proper divisors (780022800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
350113200 is a wasteful number, since it uses less digits than its factorization.
350113200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2259 (or 2248 counting only the distinct ones).
The product of its (nonzero) digits is 90, while the sum is 15.
The square root of 350113200 is about 18711.3120865427. The cubic root of 350113200 is about 704.8058416090.
Adding to 350113200 its reverse (2311053), we get a palindrome (352424253).
The spelling of 350113200 in words is "three hundred fifty million, one hundred thirteen thousand, two hundred".
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