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814011084 = 223261370679
BaseRepresentation
bin110000100001001…
…101001011001100
32002201201001021200
4300201031023030
53131341323314
6212435025500
726112660105
oct6041151314
92081631250
10814011084
11388540637
121a873b290
13cc84a383
147a1753ac
154b6e3709
hex3084d2cc

814011084 has 36 divisors (see below), whose sum is σ = 2091376560. Its totient is φ = 266888160.

The previous prime is 814011083. The next prime is 814011131. The reversal of 814011084 is 480110418.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×8140110842 = 1325228089749710112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (814011083) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 183144 + ... + 187535.

Almost surely, 2814011084 is an apocalyptic number.

It is an amenable number.

814011084 is an abundant number, since it is smaller than the sum of its proper divisors (1277365476).

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

814011084 is a wasteful number, since it uses less digits than its factorization.

814011084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370750 (or 370745 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 814011084 is about 28530.8794817124. The cubic root of 814011084 is about 933.7059066398.

The spelling of 814011084 in words is "eight hundred fourteen million, eleven thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 2196 370679 741358 1112037 1482716 2224074 3336111 4448148 6672222 13344444 22611419 45222838 67834257 90445676 135668514 203502771 271337028 407005542 814011084