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290133344 = 25194391087
BaseRepresentation
bin10001010010110…
…001010101100000
3202012221022010102
4101102301111200
51043233231334
644442321532
710122043544
oct2122612540
9665838112
10290133344
11139855526
12811b92a8
1348154b47
142a765a24
151a71067e
hex114b1560

290133344 has 48 divisors (see below), whose sum is σ = 603187200. Its totient is φ = 136992384.

The previous prime is 290133323. The next prime is 290133353. The reversal of 290133344 is 443331092.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 266369 + ... + 267455.

It is an arithmetic number, because the mean of its divisors is an integer number (12566400).

Almost surely, 2290133344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 290133344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301593600).

290133344 is an abundant number, since it is smaller than the sum of its proper divisors (313053856).

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

290133344 is a wasteful number, since it uses less digits than its factorization.

290133344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

The square root of 290133344 is about 17033.3010306282. The cubic root of 290133344 is about 662.0120296095.

The spelling of 290133344 in words is "two hundred ninety million, one hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 439 608 878 1087 1756 2174 3512 4348 7024 8341 8696 14048 16682 17392 20653 33364 34784 41306 66728 82612 133456 165224 266912 330448 477193 660896 954386 1908772 3817544 7635088 9066667 15270176 18133334 36266668 72533336 145066672 290133344