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438304212 = 223212175117
BaseRepresentation
bin11010000111111…
…111110111010100
31010112202011100100
4122013333313110
51344201213322
6111254214100
713601344563
oct3207776724
91115664310
10438304212
11205458495
12102954330
136ca63308
14422d5bda
152872cdac
hex1a1ffdd4

438304212 has 18 divisors (see below), whose sum is σ = 1107935738. Its totient is φ = 146101392.

The previous prime is 438304201. The next prime is 438304213. The reversal of 438304212 is 212403834.

It can be written as a sum of positive squares in only one way, i.e., 364275396 + 74028816 = 19086^2 + 8604^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-4 number, since 4×4383042124 (a number of 36 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438304213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6087523 + ... + 6087594.

Almost surely, 2438304212 is an apocalyptic number.

It is an amenable number.

438304212 is an abundant number, since it is smaller than the sum of its proper divisors (669631526).

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

438304212 is a wasteful number, since it uses less digits than its factorization.

438304212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12175127 (or 12175122 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 438304212 is about 20935.7161807281. The cubic root of 438304212 is about 759.6121127756.

It can be divided in two parts, 438304 and 212, that added together give a triangular number (438516 = T936).

The spelling of 438304212 in words is "four hundred thirty-eight million, three hundred four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 12175117 24350234 36525351 48700468 73050702 109576053 146101404 219152106 438304212