Search a number
-
+
411366340 = 2257111719827
BaseRepresentation
bin11000100001001…
…111001111000100
31001200001120112101
4120201033033010
51320302210330
6104453001444
713123361530
oct3041171704
91050046471
10411366340
111a1229690
12b5923284
13672c1048
143c8c2bc0
15261ab4ca
hex1884f3c4

411366340 has 192 divisors, whose sum is σ = 1201858560. Its totient is φ = 114186240.

The previous prime is 411366301. The next prime is 411366353. The reversal of 411366340 is 43663114.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 411366299 and 411366308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 497007 + ... + 497833.

It is an arithmetic number, because the mean of its divisors is an integer number (6259680).

Almost surely, 2411366340 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 411366340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600929280).

411366340 is an abundant number, since it is smaller than the sum of its proper divisors (790492220).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

411366340 is a wasteful number, since it uses less digits than its factorization.

411366340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 411366340 is about 20282.1680300702. The cubic root of 411366340 is about 743.7202116921.

The spelling of 411366340 in words is "four hundred eleven million, three hundred sixty-six thousand, three hundred forty".