Search a number
-
+
290303300 = 225272291811
BaseRepresentation
bin10001010011011…
…010110101000100
3202020020221021002
4101103122311010
51043304201200
644450112432
710123352210
oct2123326504
9666227232
10290303300
11139961191
128127b718
13481b4301
142a7ab940
151a745bd5
hex114dad44

290303300 has 72 divisors (see below), whose sum is σ = 723495360. Its totient is φ = 99043200.

The previous prime is 290303291. The next prime is 290303327. The reversal of 290303300 is 3303092.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159395 + ... + 161205.

Almost surely, 2290303300 is an apocalyptic number.

290303300 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 290303300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361747680).

290303300 is an abundant number, since it is smaller than the sum of its proper divisors (433192060).

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

290303300 is a wasteful number, since it uses less digits than its factorization.

290303300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2061 (or 2054 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

The square root of 290303300 is about 17038.2892333708. The cubic root of 290303300 is about 662.1412701312.

Adding to 290303300 its reverse (3303092), we get a palindrome (293606392).

The spelling of 290303300 in words is "two hundred ninety million, three hundred three thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 229 350 458 700 916 1145 1603 1811 2290 3206 3622 4580 5725 6412 7244 8015 9055 11450 12677 16030 18110 22900 25354 32060 36220 40075 45275 50708 63385 80150 90550 126770 160300 181100 253540 316925 414719 633850 829438 1267700 1658876 2073595 2903033 4147190 5806066 8294380 10367975 11612132 14515165 20735950 29030330 41471900 58060660 72575825 145151650 290303300