Base | Representation |
---|---|
bin | 10011111111011… |
… | …000000000000000 |
3 | 212101002002112021 |
4 | 103333120000000 |
5 | 1141324133410 |
6 | 53140211224 |
7 | 11211454441 |
oct | 2377300000 |
9 | 771062467 |
10 | 335380480 |
11 | 16234a356 |
12 | 94399b14 |
13 | 54637ab6 |
14 | 327832c8 |
15 | 1e69beda |
hex | 13fd8000 |
335380480 has 128 divisors (see below), whose sum is σ = 849333600. Its totient is φ = 126877696.
The previous prime is 335380477. The next prime is 335380489. The reversal of 335380480 is 84083533.
335380480 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 (128).
It is a super-2 number, since 2×3353804802 = 224960132730060800, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (335380489) by changing a digit.
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 7 ways as a sum of consecutive naturals, for example, 3768276 + ... + 3768364.
Almost surely, 2335380480 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 335380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424666800).
335380480 is an abundant number, since it is smaller than the sum of its proper divisors (513953120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
335380480 is an frugal number, since it uses more digits than its factorization.
335380480 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 147 (or 119 counting only the distinct ones).
The product of its (nonzero) digits is 34560, while the sum is 34.
The square root of 335380480 is about 18313.3961896749. The cubic root of 335380480 is about 694.7777907010. Note that the first 4 decimals are identical.
The spelling of 335380480 in words is "three hundred thirty-five million, three hundred eighty thousand, four hundred eighty".
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