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290143400 = 23522695393
BaseRepresentation
bin10001010010110…
…011110010101000
3202012221210220212
4101102303302220
51043234042100
644442440252
710122115061
oct2122636250
9665853825
10290143400
11139862038
1281203088
13481595b1
142a769568
151a713635
hex114b3ca8

290143400 has 48 divisors (see below), whose sum is σ = 677216700. Its totient is φ = 115604480.

The previous prime is 290143397. The next prime is 290143409. The reversal of 290143400 is 4341092.

It can be written as a sum of positive squares in 6 ways, for example, as 110208004 + 179935396 = 10498^2 + 13414^2 .

It is not an unprimeable number, because it can be changed into a prime (290143409) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 51104 + ... + 56496.

Almost surely, 2290143400 is an apocalyptic number.

290143400 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 290143400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338608350).

290143400 is an abundant number, since it is smaller than the sum of its proper divisors (387073300).

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

290143400 is a wasteful number, since it uses less digits than its factorization.

290143400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5678 (or 5669 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 290143400 is about 17033.5962145403. The cubic root of 290143400 is about 662.0196779503.

Adding to 290143400 its reverse (4341092), we get a palindrome (294484492).

The spelling of 290143400 in words is "two hundred ninety million, one hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 269 538 1076 1345 2152 2690 5380 5393 6725 10760 10786 13450 21572 26900 26965 43144 53800 53930 107860 134825 215720 269650 539300 1078600 1450717 2901434 5802868 7253585 11605736 14507170 29014340 36267925 58028680 72535850 145071700 290143400