| Base | Representation |
|---|---|
| bin | 1010001011110001101… |
| … | …10110111100000000000 |
| 3 | 1020110012112012210000000 |
| 4 | 11011320312313200000 |
| 5 | 21213114010000000 |
| 6 | 424430120000000 |
| 7 | 34165225632054 |
| oct | 5057066674000 |
| 9 | 1213175183000 |
| 10 | 349920000000 |
| 11 | 12544479914a |
| 12 | 57997600000 |
| 13 | 26cc713b24c |
| 14 | 12d16da9c64 |
| 15 | 9180000000 |
| hex | 5178db7800 |
349920000000 has 768 divisors, whose sum is σ = 1311676329600. Its totient is φ = 93312000000.
The previous prime is 349919999999. The next prime is 349920000007. The reversal of 349920000000 is 29943.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It is a tau number, because it is divible by the number of its divisors (768).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 9000 × 5400 × 7200.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (349920000007) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69983999998 + ... + 69984000002.
Almost surely, 2349920000000 is an apocalyptic number.
349920000000 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 349920000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655838164800).
349920000000 is an abundant number, since it is smaller than the sum of its proper divisors (961756329600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
349920000000 is an frugal number, since it uses more digits than its factorization.
349920000000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 78 (or 10 counting only the distinct ones).
The product of its (nonzero) digits is 1944, while the sum is 27.
Adding to 349920000000 its reverse (29943), we get a palindrome (349920029943).
The spelling of 349920000000 in words is "three hundred forty-nine billion, nine hundred twenty million", and thus it is an aban number.
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