Search a number
-
+
406143306 = 232149151433
BaseRepresentation
bin11000001101010…
…100000101001010
31001022020012212200
4120031110011022
51312433041211
6104145021030
713031106162
oct3015240512
91038205780
10406143306
11199291528
12b4024776
13661b28aa
143bd235a2
15259c8b56
hex1835414a

406143306 has 24 divisors (see below), whose sum is σ = 885888900. Its totient is φ = 134471616.

The previous prime is 406143271. The next prime is 406143313. The reversal of 406143306 is 603341604.

406143306 is a `hidden beast` number, since 40 + 614 + 3 + 3 + 0 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 351900081 + 54243225 = 18759^2 + 7365^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 406143306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73035 + ... + 78398.

Almost surely, 2406143306 is an apocalyptic number.

406143306 is an abundant number, since it is smaller than the sum of its proper divisors (479745594).

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

406143306 is a wasteful number, since it uses less digits than its factorization.

406143306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151590 (or 151587 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 406143306 is about 20152.9974445490. The cubic root of 406143306 is about 740.5591743879.

The spelling of 406143306 in words is "four hundred six million, one hundred forty-three thousand, three hundred six".

Divisors: 1 2 3 6 9 18 149 298 447 894 1341 2682 151433 302866 454299 908598 1362897 2725794 22563517 45127034 67690551 135381102 203071653 406143306