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290429568 = 273211134143
BaseRepresentation
bin10001010011111…
…001101010000000
3202020111100110200
4101103321222000
51043322221233
644452525200
710124416302
oct2123715200
9666440420
10290429568
11139a38040
1281320800
1348229920
142a801972
151a76d313
hex114f9a80

290429568 has 384 divisors, whose sum is σ = 1029188160. Its totient is φ = 77414400.

The previous prime is 290429567. The next prime is 290429593. The reversal of 290429568 is 865924092.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (290429561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6754155 + ... + 6754197.

Almost surely, 2290429568 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 290429568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514594080).

290429568 is an abundant number, since it is smaller than the sum of its proper divisors (738758592).

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

290429568 is a wasteful number, since it uses less digits than its factorization.

290429568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 290429568 is about 17041.9942495003. The cubic root of 290429568 is about 662.2372561053.

The spelling of 290429568 in words is "two hundred ninety million, four hundred twenty-nine thousand, five hundred sixty-eight".