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676394208 = 253273179137
BaseRepresentation
bin101000010100001…
…111010011100000
31202010202101102100
4220110033103200
52341124103313
6151041250400
722522153530
oct5024172340
91663671370
10676394208
11317896a86
1216a633a00
13aa195979
1465b914c0
153e5ad173
hex2850f4e0

676394208 has 288 divisors, whose sum is σ = 2314690560. Its totient is φ = 183306240.

The previous prime is 676394153. The next prime is 676394219. The reversal of 676394208 is 802493676.

676394208 is a `hidden beast` number, since 6 + 7 + 639 + 4 + 2 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4937116 + ... + 4937252.

It is an arithmetic number, because the mean of its divisors is an integer number (8037120).

Almost surely, 2676394208 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 676394208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157345280).

676394208 is an abundant number, since it is smaller than the sum of its proper divisors (1638296352).

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

676394208 is a wasteful number, since it uses less digits than its factorization.

676394208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 676394208 is about 26007.5798181992. The cubic root of 676394208 is about 877.8088600339.

The spelling of 676394208 in words is "six hundred seventy-six million, three hundred ninety-four thousand, two hundred eight".