Base | Representation |
---|---|
bin | 10101000111001… |
… | …101100010101010 |
3 | 220200111211112100 |
4 | 111013031202222 |
5 | 1211134241020 |
6 | 55051554230 |
7 | 11530516035 |
oct | 2507154252 |
9 | 820454470 |
10 | 354212010 |
11 | 171a417a9 |
12 | 9a75b976 |
13 | 584cc409 |
14 | 3508601c |
15 | 2116ba90 |
hex | 151cd8aa |
354212010 has 48 divisors (see below), whose sum is σ = 926505216. Its totient is φ = 93886944.
The previous prime is 354211999. The next prime is 354212011. The reversal of 354212010 is 10212453.
354212010 is a `hidden beast` number, since 3 + 542 + 120 + 1 + 0 = 666.
It is a super-3 number, since 3×3542120103 (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 (18).
It is not an unprimeable number, because it can be changed into a prime (354212011) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3247 + ... + 26813.
It is an arithmetic number, because the mean of its divisors is an integer number (19302192).
Almost surely, 2354212010 is an apocalyptic number.
354212010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 354212010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463252608).
354212010 is an abundant number, since it is smaller than the sum of its proper divisors (572293206).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
354212010 is a wasteful number, since it uses less digits than its factorization.
354212010 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 23747 (or 23744 counting only the distinct ones).
The product of its (nonzero) digits is 240, while the sum is 18.
The square root of 354212010 is about 18820.5209810993. The cubic root of 354212010 is about 707.5455884253.
Adding to 354212010 its reverse (10212453), we get a palindrome (364424463).
The spelling of 354212010 in words is "three hundred fifty-four million, two hundred twelve thousand, ten".
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