Search a number
-
+
290471868 = 223259163839
BaseRepresentation
bin10001010100000…
…011111110111100
3202020120111111100
4101110003332330
51043330044433
644453453100
710124653521
oct2124037674
9666514440
10290471868
11139a668a5
1281341190
1348242c5b
142a813148
151a77ab13
hex11503fbc

290471868 has 72 divisors (see below), whose sum is σ = 752169600. Its totient is φ = 94486176.

The previous prime is 290471821. The next prime is 290471873. The reversal of 290471868 is 868174092.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 345793 + ... + 346631.

It is an arithmetic number, because the mean of its divisors is an integer number (10446800).

Almost surely, 2290471868 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 290471868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376084800).

290471868 is an abundant number, since it is smaller than the sum of its proper divisors (461697732).

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

290471868 is a wasteful number, since it uses less digits than its factorization.

290471868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 290471868 is about 17043.2352562534. The cubic root of 290471868 is about 662.2694053526.

The spelling of 290471868 in words is "two hundred ninety million, four hundred seventy-one thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 163 177 236 326 354 489 531 652 708 839 978 1062 1467 1678 1956 2124 2517 2934 3356 5034 5868 7551 9617 10068 15102 19234 28851 30204 38468 49501 57702 86553 99002 115404 136757 148503 173106 198004 273514 297006 346212 410271 445509 547028 594012 820542 891018 1230813 1641084 1782036 2461626 4923252 8068663 16137326 24205989 32274652 48411978 72617967 96823956 145235934 290471868