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290238984 = 233371910103
BaseRepresentation
bin10001010011001…
…011001000001000
3202020010200001000
4101103023020020
51043300121414
644444455000
710122663540
oct2123131010
9666120030
10290238984
11139917932
128124a460
1348190c59
142a792320
151a731b09
hex114cb208

290238984 has 128 divisors (see below), whose sum is σ = 969984000. Its totient is φ = 78553152.

The previous prime is 290238967. The next prime is 290239007. The reversal of 290238984 is 489832092.

It is a zygodrome in base 6.

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, 23677 + ... + 33779.

It is an arithmetic number, because the mean of its divisors is an integer number (7578000).

Almost surely, 2290238984 is an apocalyptic number.

290238984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 290238984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484992000).

290238984 is an abundant number, since it is smaller than the sum of its proper divisors (679745016).

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

290238984 is a wasteful number, since it uses less digits than its factorization.

290238984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10144 (or 10134 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 290238984 is about 17036.4017327604. The cubic root of 290238984 is about 662.0923679160.

The spelling of 290238984 in words is "two hundred ninety million, two hundred thirty-eight thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 27 28 36 38 42 54 56 57 63 72 76 84 108 114 126 133 152 168 171 189 216 228 252 266 342 378 399 456 504 513 532 684 756 798 1026 1064 1197 1368 1512 1596 2052 2394 3192 3591 4104 4788 7182 9576 10103 14364 20206 28728 30309 40412 60618 70721 80824 90927 121236 141442 181854 191957 212163 242472 272781 282884 363708 383914 424326 545562 565768 575871 636489 727416 767828 848652 1091124 1151742 1272978 1343699 1535656 1697304 1727613 1909467 2182248 2303484 2545956 2687398 3455226 3818934 4031097 4606968 5091912 5182839 5374796 6910452 7637868 8062194 10365678 10749592 12093291 13820904 15275736 16124388 20731356 24186582 32248776 36279873 41462712 48373164 72559746 96746328 145119492 290238984