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421316676 = 22321123112
BaseRepresentation
bin11001000111001…
…100100001000100
31002100210002211100
4121013030201010
51330324113201
6105450140100
713304063334
oct3107144104
91070702740
10421316676
111a6905500
12b9121630
1369396111
143dd530c4
1526ec4886
hex191cc844

421316676 has 81 divisors (see below), whose sum is σ = 1174390399. Its totient is φ = 127261200.

The previous prime is 421316657. The next prime is 421316689. The reversal of 421316676 is 676613124.

It is a happy number.

The square root of 421316676 is 20526.

It is a perfect power (a square), and thus also a powerful number.

421316676 is a `hidden beast` number, since 421 + 3 + 166 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 421316676.

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 26 ways as a sum of consecutive naturals, for example, 1354561 + ... + 1354871.

Almost surely, 2421316676 is an apocalyptic number.

421316676 is the 20526-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421316676

421316676 is an abundant number, since it is smaller than the sum of its proper divisors (753073723).

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

421316676 is a wasteful number, since it uses less digits than its factorization.

421316676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 327 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The cubic root of 421316676 is about 749.6689952693.

Multiplying 421316676 by its sum of digits (36), we get a square (15167400336 = 1231562).

421316676 divided by its sum of digits (36) gives a square (11703241 = 34212).

The spelling of 421316676 in words is "four hundred twenty-one million, three hundred sixteen thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 311 363 396 484 622 726 933 1089 1244 1452 1866 2178 2799 3421 3732 4356 5598 6842 10263 11196 13684 20526 30789 37631 41052 61578 75262 96721 112893 123156 150524 193442 225786 290163 338679 386884 451572 580326 677358 870489 1063931 1160652 1354716 1740978 2127862 3191793 3481956 4255724 6383586 9575379 11703241 12767172 19150758 23406482 35109723 38301516 46812964 70219446 105329169 140438892 210658338 421316676