Base | Representation |
---|---|
bin | 10011111111101… |
… | …000101111111000 |
3 | 212101012120122000 |
4 | 103333220233320 |
5 | 1141333332310 |
6 | 53141501000 |
7 | 11212161441 |
oct | 2377505770 |
9 | 771176560 |
10 | 335449080 |
11 | 16239694a |
12 | 94411760 |
13 | 546600a5 |
14 | 327a02c8 |
15 | 1e6b24c0 |
hex | 13fe8bf8 |
335449080 has 128 divisors (see below), whose sum is σ = 1127174400. Its totient is φ = 88732800.
The previous prime is 335449073. The next prime is 335449133. The reversal of 335449080 is 80944533.
335449080 is a `hidden beast` number, since 33 + 544 + 9 + 0 + 80 = 666.
335449080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×3354490803 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140295 + ... + 142665.
It is an arithmetic number, because the mean of its divisors is an integer number (8806050).
Almost surely, 2335449080 is an apocalyptic number.
335449080 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 335449080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563587200).
335449080 is an abundant number, since it is smaller than the sum of its proper divisors (791725320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
335449080 is a wasteful number, since it uses less digits than its factorization.
335449080 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2522 (or 2512 counting only the distinct ones).
The product of its (nonzero) digits is 51840, while the sum is 36.
The square root of 335449080 is about 18315.2690397930. The cubic root of 335449080 is about 694.8251583028.
It can be divided in two parts, 33544 and 9080, that added together give a palindrome (42624).
The spelling of 335449080 in words is "three hundred thirty-five million, four hundred forty-nine thousand, eighty".
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