Search a number
-
+
406368284 = 22764322571
BaseRepresentation
bin11000001110001…
…011000000011100
31001022122122111012
4120032023000130
51313012241114
6104153514352
713033034120
oct3016130034
91038578435
10406368284
11199425563
12b41129b8
136626110a
143bd81580
1525a2063e
hex1838b01c

406368284 has 24 divisors (see below), whose sum is σ = 814036608. Its totient is φ = 173879280.

The previous prime is 406368283. The next prime is 406368293. The reversal of 406368284 is 482863604.

It is a super-2 number, since 2×4063682842 = 330270364482209312, which contains 22 as substring.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406368283) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 6719 + ... + 29289.

It is an arithmetic number, because the mean of its divisors is an integer number (33918192).

Almost surely, 2406368284 is an apocalyptic number.

It is an amenable number.

406368284 is an abundant number, since it is smaller than the sum of its proper divisors (407668324).

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

406368284 is a wasteful number, since it uses less digits than its factorization.

406368284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23225 (or 23223 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 41.

The square root of 406368284 is about 20158.5784221011. The cubic root of 406368284 is about 740.6958903083.

The spelling of 406368284 in words is "four hundred six million, three hundred sixty-eight thousand, two hundred eighty-four".

Divisors: 1 2 4 7 14 28 643 1286 2572 4501 9002 18004 22571 45142 90284 157997 315994 631988 14513153 29026306 58052612 101592071 203184142 406368284