Search a number
-
+
243056004 = 223177197173
BaseRepresentation
bin11100111110010…
…11110110000100
3121221100112011020
432133023312010
5444210243004
640041311140
76010641042
oct1637136604
9557315136
10243056004
11115220634
12694954b0
133b480b29
14243cd392
15165118d9
hexe7cbd84

243056004 has 96 divisors (see below), whose sum is σ = 618782976. Its totient is φ = 73973760.

The previous prime is 243055993. The next prime is 243056059. The reversal of 243056004 is 400650342.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1404862 + ... + 1405034.

It is an arithmetic number, because the mean of its divisors is an integer number (6445656).

Almost surely, 2243056004 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 243056004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309391488).

243056004 is an abundant number, since it is smaller than the sum of its proper divisors (375726972).

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

243056004 is a wasteful number, since it uses less digits than its factorization.

243056004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 243056004 is about 15590.2534937698. The cubic root of 243056004 is about 624.0730827453.

The spelling of 243056004 in words is "two hundred forty-three million, fifty-six thousand, four".

Divisors: 1 2 3 4 6 12 17 34 51 68 71 97 102 142 173 194 204 213 284 291 346 388 426 519 582 692 852 1038 1164 1207 1649 2076 2414 2941 3298 3621 4828 4947 5882 6596 6887 7242 8823 9894 11764 12283 13774 14484 16781 17646 19788 20661 24566 27548 33562 35292 36849 41322 49132 50343 67124 73698 82644 100686 117079 147396 201372 208811 234158 285277 351237 417622 468316 570554 626433 702474 835244 855831 1141108 1191451 1252866 1404948 1711662 2382902 2505732 3423324 3574353 4765804 7148706 14297412 20254667 40509334 60764001 81018668 121528002 243056004