| Base | Representation |
|---|---|
| bin | 10101000010111… |
| … | …101100101100000 |
| 3 | 220121102020111200 |
| 4 | 111002331211200 |
| 5 | 1210343114310 |
| 6 | 55012041200 |
| 7 | 11515166316 |
| oct | 2502754540 |
| 9 | 817366450 |
| 10 | 353098080 |
| 11 | 1713508a5 |
| 12 | 9a303200 |
| 13 | 581cc39a |
| 14 | 34c760b6 |
| 15 | 20eeb9c0 |
| hex | 150bd960 |
353098080 has 144 divisors (see below), whose sum is σ = 1221816960. Its totient is φ = 92841984.
The previous prime is 353098079. The next prime is 353098087. The reversal of 353098080 is 80890353.
353098080 is digitally balanced in base 3, 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 (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (353098087) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103441 + ... + 106799.
It is an arithmetic number, because the mean of its divisors is an integer number (8484840).
Almost surely, 2353098080 is an apocalyptic number.
353098080 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 353098080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610908480).
353098080 is an abundant number, since it is smaller than the sum of its proper divisors (868718880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
353098080 is a wasteful number, since it uses less digits than its factorization.
353098080 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3453 (or 3442 counting only the distinct ones).
The product of its (nonzero) digits is 25920, while the sum is 36.
The square root of 353098080 is about 18790.9041826092. The cubic root of 353098080 is about 706.8031103967.
The spelling of 353098080 in words is "three hundred fifty-three million, ninety-eight thousand, eighty".
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