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243986436 = 2232371131621
BaseRepresentation
bin11101000101011…
…11000000000100
3122000002210110200
432202233000010
5444430031221
640113250500
76021564501
oct1642570004
9560083420
10243986436
111157a6691
1269863a30
133b718495
14245924a8
1516647426
hexe8af004

243986436 has 72 divisors (see below), whose sum is σ = 639411864. Its totient is φ = 78382080.

The previous prime is 243986423. The next prime is 243986437. The reversal of 243986436 is 634689342.

It can be written as a sum of positive squares in 4 ways, for example, as 43480836 + 200505600 = 6594^2 + 14160^2 .

It is a junction number, because it is equal to n+sod(n) for n = 243986391 and 243986400.

It is not an unprimeable number, because it can be changed into a prime (243986437) 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 23 ways as a sum of consecutive naturals, for example, 149706 + ... + 151326.

Almost surely, 2243986436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243986436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319705932).

243986436 is an abundant number, since it is smaller than the sum of its proper divisors (395425428).

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

243986436 is a wasteful number, since it uses less digits than its factorization.

243986436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1781 (or 1776 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 243986436 is about 15620.0651727194. The cubic root of 243986436 is about 624.8683976779.

The spelling of 243986436 in words is "two hundred forty-three million, nine hundred eighty-six thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 113 148 222 226 333 339 444 452 666 678 1017 1332 1356 1621 2034 3242 4068 4181 4863 6484 8362 9726 12543 14589 16724 19452 25086 29178 37629 50172 58356 59977 75258 119954 150516 179931 183173 239908 359862 366346 539793 549519 719724 732692 1079586 1099038 1648557 2159172 2198076 3297114 6594228 6777401 13554802 20332203 27109604 40664406 60996609 81328812 121993218 243986436