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408058431 = 31112365407
BaseRepresentation
bin11000010100100…
…111101000111111
31001102211111221020
4120110213220333
51313430332211
6104254035223
713053303504
oct3024475077
91042744836
10408058431
1119a37a380
12b47a8b13
13667034c1
143c2a14ab
1525c56306
hex18527a3f

408058431 has 8 divisors (see below), whose sum is σ = 593539584. Its totient is φ = 247308120.

The previous prime is 408058397. The next prime is 408058457. The reversal of 408058431 is 134850804.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 408058431 - 26 = 408058367 is a prime.

It is a super-2 number, since 2×4080584312 = 333023366220363522, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (33), and also a Moran number because the ratio is a prime number: 12365407 = 408058431 / (4 + 0 + 8 + 0 + 5 + 8 + 4 + 3 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 408058392 and 408058401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408058471) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6182671 + ... + 6182736.

It is an arithmetic number, because the mean of its divisors is an integer number (74192448).

Almost surely, 2408058431 is an apocalyptic number.

408058431 is a deficient number, since it is larger than the sum of its proper divisors (185481153).

408058431 is a wasteful number, since it uses less digits than its factorization.

408058431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12365421.

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 408058431 is about 20200.4562077197. The cubic root of 408058431 is about 741.7213585782.

The spelling of 408058431 in words is "four hundred eight million, fifty-eight thousand, four hundred thirty-one".

Divisors: 1 3 11 33 12365407 37096221 136019477 408058431