Base | Representation |
---|---|
bin | 1100011111111011… |
… | …0110010001010000 |
3 | 22122211021211110220 |
4 | 3013332312101100 |
5 | 23332404004300 |
6 | 1312532153040 |
7 | 146100141525 |
oct | 30776662120 |
9 | 8584254426 |
10 | 3355141200 |
11 | 1471987274 |
12 | 797768780 |
13 | 41614a868 |
14 | 23b85114c |
15 | 149845da0 |
hex | c7fb6450 |
3355141200 has 120 divisors (see below), whose sum is σ = 10930029600. Its totient is φ = 879521280.
The previous prime is 3355141187. The next prime is 3355141343. The reversal of 3355141200 is 21415533.
It is a tau number, because it is divible by the number of its divisors (120).
It is a super-2 number, since 2×33551412002 = 22513944943874880000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47106 + ... + 94494.
It is an arithmetic number, because the mean of its divisors is an integer number (91083580).
Almost surely, 23355141200 is an apocalyptic number.
3355141200 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 3355141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5465014800).
3355141200 is an abundant number, since it is smaller than the sum of its proper divisors (7574888400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3355141200 is a wasteful number, since it uses less digits than its factorization.
3355141200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 47469 (or 47458 counting only the distinct ones).
The product of its (nonzero) digits is 1800, while the sum is 24.
The square root of 3355141200 is about 57923.5806904235. The cubic root of 3355141200 is about 1497.0521662011.
Adding to 3355141200 its reverse (21415533), we get a palindrome (3376556733).
The spelling of 3355141200 in words is "three billion, three hundred fifty-five million, one hundred forty-one thousand, two hundred".
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