Search a number
-
+
437144076 = 223212142891
BaseRepresentation
bin11010000011100…
…100101000001100
31010110120012221100
4122003210220030
51343402102301
6111213303100
713555443345
oct3203445014
91113505840
10437144076
112048358a6
12102494a90
136c748245
14420b30cc
152859e286
hex1a0e4a0c

437144076 has 18 divisors (see below), whose sum is σ = 1105003172. Its totient is φ = 145714680.

The previous prime is 437144047. The next prime is 437144093. The reversal of 437144076 is 670441734.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 12142891 = 437144076 / (4 + 3 + 7 + 1 + 4 + 4 + 0 + 7 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 437144076.

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 5 ways as a sum of consecutive naturals, for example, 6071410 + ... + 6071481.

Almost surely, 2437144076 is an apocalyptic number.

It is an amenable number.

437144076 is an abundant number, since it is smaller than the sum of its proper divisors (667859096).

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

437144076 is a wasteful number, since it uses less digits than its factorization.

437144076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12142901 (or 12142896 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 437144076 is about 20907.9907212530. The cubic root of 437144076 is about 758.9413214230.

The spelling of 437144076 in words is "four hundred thirty-seven million, one hundred forty-four thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 12142891 24285782 36428673 48571564 72857346 109286019 145714692 218572038 437144076