Base | Representation |
---|---|
bin | 11000001111001… |
… | …110111101001100 |
3 | 1001100011210021100 |
4 | 120033032331030 |
5 | 1313100142404 |
6 | 104203503100 |
7 | 13035303420 |
oct | 3017167514 |
9 | 1040153240 |
10 | 406646604 |
11 | 1995a5681 |
12 | b4227a90 |
13 | 6632a9c0 |
14 | 3c014b80 |
15 | 25a77d39 |
hex | 183cef4c |
406646604 has 144 divisors (see below), whose sum is σ = 1278688320. Its totient is φ = 106099200.
The previous prime is 406646599. The next prime is 406646633.
It is a happy number.
406646604 is a `hidden beast` number, since 4 + 0 + 6 + 6 + 46 + 604 = 666.
406646604 is nontrivially palindromic in base 10.
It is a super-2 number, since 2×4066466042 = 330722921089465632, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 330262 + ... + 331490.
It is an arithmetic number, because the mean of its divisors is an integer number (8879780).
Almost surely, 2406646604 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 406646604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639344160).
406646604 is an abundant number, since it is smaller than the sum of its proper divisors (872041716).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
406646604 is a wasteful number, since it uses less digits than its factorization.
406646604 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1360 (or 1355 counting only the distinct ones).
The product of its (nonzero) digits is 82944, while the sum is 36.
The square root of 406646604 is about 20165.4805050611. The cubic root of 406646604 is about 740.8649515944.
The spelling of 406646604 in words is "four hundred six million, six hundred forty-six thousand, six hundred four".
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