| Base | Representation |
|---|---|
| bin | 10100101001000… |
| … | …001111001110100 |
| 3 | 220010121212022200 |
| 4 | 110221001321310 |
| 5 | 1202123100040 |
| 6 | 54210224500 |
| 7 | 11403334023 |
| oct | 2451017164 |
| 9 | 803555280 |
| 10 | 346300020 |
| 11 | 168528370 |
| 12 | 97b85130 |
| 13 | 5698c071 |
| 14 | 33dc68ba |
| 15 | 20607630 |
| hex | 14a41e74 |
346300020 has 288 divisors, whose sum is σ = 1224961920. Its totient is φ = 78382080.
The previous prime is 346299971. The next prime is 346300021. The reversal of 346300020 is 20003643.
346300020 is a `hidden beast` number, since 34 + 630 + 0 + 0 + 2 + 0 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 346299966 and 346300002.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (346300021) 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 95 ways as a sum of consecutive naturals, for example, 2124459 + ... + 2124621.
It is an arithmetic number, because the mean of its divisors is an integer number (4253340).
Almost surely, 2346300020 is an apocalyptic number.
346300020 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 346300020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612480960).
346300020 is an abundant number, since it is smaller than the sum of its proper divisors (878661900).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
346300020 is a wasteful number, since it uses less digits than its factorization.
346300020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 255 (or 250 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 18.
The square root of 346300020 is about 18609.1380778369. The cubic root of 346300020 is about 702.2377503324.
Adding to 346300020 its reverse (20003643), we get a palindrome (366303663).
The spelling of 346300020 in words is "three hundred forty-six million, three hundred thousand, twenty".
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