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290327968 = 2578914563
BaseRepresentation
bin10001010011100…
…000110110100000
3202020022012002201
4101103200312200
51043310443333
644450422544
710123514140
oct2123406640
9666265081
10290327968
11139978777
1281291a54
13481c25c8
142a7b6920
151a74d17d
hex114e0da0

290327968 has 48 divisors (see below), whose sum is σ = 660623040. Its totient is φ = 123019776.

The previous prime is 290327963. The next prime is 290327981. The reversal of 290327968 is 869723092.

It is not an unprimeable number, because it can be changed into a prime (290327963) by changing a digit.

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, 12655 + ... + 27217.

It is an arithmetic number, because the mean of its divisors is an integer number (13762980).

Almost surely, 2290327968 is an apocalyptic number.

290327968 is a gapful number since it is divisible by the number (28) 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 290327968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330311520).

290327968 is an abundant number, since it is smaller than the sum of its proper divisors (370295072).

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

290327968 is a wasteful number, since it uses less digits than its factorization.

290327968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14669 (or 14661 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 46.

The square root of 290327968 is about 17039.0131169619. The cubic root of 290327968 is about 662.1600243539.

The spelling of 290327968 in words is "two hundred ninety million, three hundred twenty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 89 112 178 224 356 623 712 1246 1424 2492 2848 4984 9968 14563 19936 29126 58252 101941 116504 203882 233008 407764 466016 815528 1296107 1631056 2592214 3262112 5184428 9072749 10368856 18145498 20737712 36290996 41475424 72581992 145163984 290327968