Base | Representation |
---|---|
bin | 1100011111111111… |
… | …1001111000000000 |
3 | 22122211210220022220 |
4 | 3013333321320000 |
5 | 23332441334422 |
6 | 1312542131040 |
7 | 146102404044 |
oct | 30777717000 |
9 | 8584726286 |
10 | 3355418112 |
11 | 1472056322 |
12 | 797880a80 |
13 | 416216907 |
14 | 23b8c4024 |
15 | 14989ce5c |
hex | c7ff9e00 |
3355418112 has 320 divisors, whose sum is σ = 10210489344. Its totient is φ = 973209600.
The previous prime is 3355418071. The next prime is 3355418123. The reversal of 3355418112 is 2118145533.
It is a super-3 number, since 3×33554181123 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a zygodrome in base 2.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22221237 + ... + 22221387.
Almost surely, 23355418112 is an apocalyptic number.
3355418112 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 3355418112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5105244672).
3355418112 is an abundant number, since it is smaller than the sum of its proper divisors (6855071232).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3355418112 is a wasteful number, since it uses less digits than its factorization.
3355418112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 249 (or 233 counting only the distinct ones).
The product of its digits is 14400, while the sum is 33.
The square root of 3355418112 is about 57925.9709629455. The cubic root of 3355418112 is about 1497.0933507872.
The spelling of 3355418112 in words is "three billion, three hundred fifty-five million, four hundred eighteen thousand, one hundred twelve".
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