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290440128 = 26311137519
BaseRepresentation
bin10001010011111…
…100001111000000
3202020111212221210
4101103330033000
51043323041003
644453050120
710124462136
oct2123741700
9666455853
10290440128
11139a44a70
1281326940
1348231684
142a805756
151a771503
hex114fc3c0

290440128 has 56 divisors (see below), whose sum is σ = 838321920. Its totient is φ = 88011520.

The previous prime is 290440127. The next prime is 290440177. The reversal of 290440128 is 821044092.

It is a junction number, because it is equal to n+sod(n) for n = 290440095 and 290440104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290440123) 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 7 ways as a sum of consecutive naturals, for example, 66648 + ... + 70871.

Almost surely, 2290440128 is an apocalyptic number.

It is an amenable number.

290440128 is an abundant number, since it is smaller than the sum of its proper divisors (547881792).

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

290440128 is a wasteful number, since it uses less digits than its factorization.

290440128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137545 (or 137535 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 290440128 is about 17042.3040695793. The cubic root of 290440128 is about 662.2452823090.

The spelling of 290440128 in words is "two hundred ninety million, four hundred forty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 137519 275038 412557 550076 825114 1100152 1512709 1650228 2200304 3025418 3300456 4400608 4538127 6050836 6600912 8801216 9076254 12101672 13201824 18152508 24203344 26403648 36305016 48406688 72610032 96813376 145220064 290440128