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283342080 = 2835783127
BaseRepresentation
bin10000111000110…
…111010100000000
3201202011021021010
4100320313110000
51040013421310
644041000520
710010240130
oct2070672400
9652137233
10283342080
11135a3710a
127aa83140
1346917948
14298b8ac0
1519d1d320
hex10e37500

283342080 has 288 divisors, whose sum is σ = 1054900224. Its totient is φ = 63479808.

The previous prime is 283342069. The next prime is 283342123. The reversal of 283342080 is 80243382.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 2230977 + ... + 2231103.

It is an arithmetic number, because the mean of its divisors is an integer number (3662848).

Almost surely, 2283342080 is an apocalyptic number.

283342080 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 283342080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527450112).

283342080 is an abundant number, since it is smaller than the sum of its proper divisors (771558144).

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

283342080 is a wasteful number, since it uses less digits than its factorization.

283342080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 283342080 is about 16832.7680433136. The cubic root of 283342080 is about 656.8058706092.

The spelling of 283342080 in words is "two hundred eighty-three million, three hundred forty-two thousand, eighty".