Search a number
-
+
290356380 = 223351094933
BaseRepresentation
bin10001010011100…
…111110010011100
3202020100122002000
4101103213302130
51043312401010
644451202300
710123663026
oct2123476234
9666318060
10290356380
11139998056
12812a6390
1348202512
142a7c3016
151a7567c0
hex114e7c9c

290356380 has 96 divisors (see below), whose sum is σ = 911803200. Its totient is φ = 76702464.

The previous prime is 290356373. The next prime is 290356403. The reversal of 290356380 is 83653092.

290356380 is a `hidden beast` number, since 2 + 90 + 3 + 563 + 8 + 0 = 666.

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

It is a congruent number.

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, 56394 + ... + 61326.

It is an arithmetic number, because the mean of its divisors is an integer number (9497950).

Almost surely, 2290356380 is an apocalyptic number.

290356380 is a gapful number since it is divisible by the number (20) 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 290356380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455901600).

290356380 is an abundant number, since it is smaller than the sum of its proper divisors (621446820).

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

290356380 is a wasteful number, since it uses less digits than its factorization.

290356380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5060 (or 5052 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 290356380 is about 17039.8468302975. The cubic root of 290356380 is about 662.1816236933.

The spelling of 290356380 in words is "two hundred ninety million, three hundred fifty-six thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 109 135 180 218 270 327 436 540 545 654 981 1090 1308 1635 1962 2180 2943 3270 3924 4905 4933 5886 6540 9810 9866 11772 14715 14799 19620 19732 24665 29430 29598 44397 49330 58860 59196 73995 88794 98660 133191 147990 177588 221985 266382 295980 443970 532764 537697 665955 887940 1075394 1331910 1613091 2150788 2663820 2688485 3226182 4839273 5376970 6452364 8065455 9678546 10753940 14517819 16130910 19357092 24196365 29035638 32261820 48392730 58071276 72589095 96785460 145178190 290356380