| Base | Representation |
|---|---|
| bin | 10100000011110… |
| … | …100010011100000 |
| 3 | 212110021020221100 |
| 4 | 110003310103200 |
| 5 | 1142123414432 |
| 6 | 53221154400 |
| 7 | 11224404510 |
| oct | 2403642340 |
| 9 | 773236840 |
| 10 | 336544992 |
| 11 | 162a75263 |
| 12 | 9485ba00 |
| 13 | 54954b64 |
| 14 | 329a7840 |
| 15 | 1e82c07c |
| hex | 140f44e0 |
336544992 has 144 divisors (see below), whose sum is σ = 1105689312. Its totient is φ = 95109120.
The previous prime is 336544939. The next prime is 336545003. The reversal of 336544992 is 299445633.
336544992 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 super-3 number, since 3×3365449923 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a congruent number.
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 194692 + ... + 196412.
It is an arithmetic number, because the mean of its divisors is an integer number (7678398).
Almost surely, 2336544992 is an apocalyptic number.
336544992 is a gapful number since it is divisible by the number (32) 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 336544992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552844656).
336544992 is an abundant number, since it is smaller than the sum of its proper divisors (769144320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
336544992 is a wasteful number, since it uses less digits than its factorization.
336544992 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1841 (or 1830 counting only the distinct ones).
The product of its digits is 699840, while the sum is 45.
The square root of 336544992 is about 18345.1626321491. The cubic root of 336544992 is about 695.5810002854.
The spelling of 336544992 in words is "three hundred thirty-six million, five hundred forty-four thousand, nine hundred ninety-two".
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