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397895680 = 2115721361
BaseRepresentation
bin10111101101110…
…110100000000000
31000201201012021001
4113231312200000
51303330130210
6103252141344
712601025500
oct2755664000
91021635231
10397895680
11194668a06
12b1307854
1364585840
143abb7a00
1524dea03a
hex17b76800

397895680 has 288 divisors, whose sum is σ = 1215625320. Its totient is φ = 123863040.

The previous prime is 397895677. The next prime is 397895681. The reversal of 397895680 is 86598793.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 130507776 + 267387904 = 11424^2 + 16352^2 .

It is not an unprimeable number, because it can be changed into a prime (397895681) 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, 6522850 + ... + 6522910.

Almost surely, 2397895680 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 397895680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607812660).

397895680 is an abundant number, since it is smaller than the sum of its proper divisors (817729640).

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

397895680 is a wasteful number, since it uses less digits than its factorization.

397895680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 55.

The square root of 397895680 is about 19947.3226273603. The cubic root of 397895680 is about 735.5119637929.

The spelling of 397895680 in words is "three hundred ninety-seven million, eight hundred ninety-five thousand, six hundred eighty".