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405640419 = 3353383041
BaseRepresentation
bin11000001011011…
…001010011100011
31001021021200001020
4120023121103203
51312320443134
6104130140523
713023613062
oct3013312343
91037250036
10405640419
11198a78718
12b3a21743
1366067a22
143bc321d9
1525929b49
hex182d94e3

405640419 has 8 divisors (see below), whose sum is σ = 542387472. Its totient is φ = 269660160.

The previous prime is 405640393. The next prime is 405640421. The reversal of 405640419 is 914046504.

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

It is a de Polignac number, because none of the positive numbers 2k-405640419 is a prime.

It is a super-2 number, since 2×4056404192 = 329088299052991122, 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 self number, because there is not a number n which added to its sum of digits gives 405640419.

It is not an unprimeable number, because it can be changed into a prime (405640439) 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, 190462 + ... + 192579.

It is an arithmetic number, because the mean of its divisors is an integer number (67798434).

Almost surely, 2405640419 is an apocalyptic number.

405640419 is a deficient number, since it is larger than the sum of its proper divisors (136747053).

405640419 is a wasteful number, since it uses less digits than its factorization.

405640419 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383397.

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 405640419 is about 20140.5168503691. The cubic root of 405640419 is about 740.2533944730.

The spelling of 405640419 in words is "four hundred five million, six hundred forty thousand, four hundred nineteen".

Divisors: 1 3 353 1059 383041 1149123 135213473 405640419