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290704320 = 26325193523
BaseRepresentation
bin10001010100111…
…100101111000000
3202021000022100200
4101110330233000
51043410014240
644502445200
710126642314
oct2124745700
9667008320
10290704320
1113a105505
1281433800
13482c49ba
142a873b44
151a7c4930
hex1153cbc0

290704320 has 168 divisors, whose sum is σ = 1007004336. Its totient is φ = 76972032.

The previous prime is 290704319. The next prime is 290704321. The reversal of 290704320 is 23407092.

It is an interprime number because it is at equal distance from previous prime (290704319) and next prime (290704321).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290704321) 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 23 ways as a sum of consecutive naturals, for example, 555579 + ... + 556101.

Almost surely, 2290704320 is an apocalyptic number.

290704320 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 290704320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503502168).

290704320 is an abundant number, since it is smaller than the sum of its proper divisors (716300016).

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

290704320 is a wasteful number, since it uses less digits than its factorization.

290704320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 290704320 is about 17050.0533723505. The cubic root of 290704320 is about 662.4460200471.

The spelling of 290704320 in words is "two hundred ninety million, seven hundred four thousand, three hundred twenty".