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670281984 = 283217109157
BaseRepresentation
bin100111111100111…
…011000100000000
31201201020212000200
4213330323010000
52333043010414
6150302245200
722416205611
oct4774730400
91651225020
10670281984
113143a1859
12168586800
13a8b35878
146503dc08
153dca2109
hex27f3b100

670281984 has 216 divisors, whose sum is σ = 2078196120. Its totient is φ = 207028224.

The previous prime is 670281971. The next prime is 670281991. The reversal of 670281984 is 489182076.

It can be written as a sum of positive squares in 4 ways, for example, as 174240000 + 496041984 = 13200^2 + 22272^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4269234 + ... + 4269390.

Almost surely, 2670281984 is an apocalyptic number.

670281984 is a gapful number since it is divisible by the number (64) 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 670281984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039098060).

670281984 is an abundant number, since it is smaller than the sum of its proper divisors (1407914136).

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

670281984 is a wasteful number, since it uses less digits than its factorization.

670281984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 670281984 is about 25889.8046342571. The cubic root of 670281984 is about 875.1567540659.

The spelling of 670281984 in words is "six hundred seventy million, two hundred eighty-one thousand, nine hundred eighty-four".