Base | Representation |
---|---|
bin | 11000001110010… |
… | …010110100110110 |
3 | 1001022201021102100 |
4 | 120032102310312 |
5 | 1313014302220 |
6 | 104154322530 |
7 | 13033226361 |
oct | 3016226466 |
9 | 1038637370 |
10 | 406400310 |
11 | 199447628 |
12 | b4129446 |
13 | 66272874 |
14 | 3bd8d0d8 |
15 | 25a29d90 |
hex | 18392d36 |
406400310 has 96 divisors (see below), whose sum is σ = 1138325760. Its totient is φ = 100263744.
The previous prime is 406400303. The next prime is 406400311. The reversal of 406400310 is 13004604.
406400310 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×4064003102 = 330322423936192200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (406400311) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70767 + ... + 76293.
It is an arithmetic number, because the mean of its divisors is an integer number (11857560).
Almost surely, 2406400310 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 406400310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569162880).
406400310 is an abundant number, since it is smaller than the sum of its proper divisors (731925450).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
406400310 is a wasteful number, since it uses less digits than its factorization.
406400310 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5602 (or 5599 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 406400310 is about 20159.3727580994. The cubic root of 406400310 is about 740.7153479484.
Adding to 406400310 its reverse (13004604), we get a palindrome (419404914).
The spelling of 406400310 in words is "four hundred six million, four hundred thousand, three hundred ten".
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