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397682208 = 253271179227
BaseRepresentation
bin10111101101000…
…010011000100000
31000201022100102200
4113231002120200
51303301312313
6103243413200
712566146230
oct2755023040
91021270380
10397682208
11194532590
12b1224200
136450c621
143ab5dcc0
1524da6b73
hex17b42620

397682208 has 288 divisors, whose sum is σ = 1434101760. Its totient is φ = 101537280.

The previous prime is 397682183. The next prime is 397682221. The reversal of 397682208 is 802286793.

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

It is a super-2 number, since 2×3976822082 = 316302277119510528, which contains 22 as substring.

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, 1751791 + ... + 1752017.

It is an arithmetic number, because the mean of its divisors is an integer number (4979520).

Almost surely, 2397682208 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 397682208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717050880).

397682208 is an abundant number, since it is smaller than the sum of its proper divisors (1036419552).

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

397682208 is a wasteful number, since it uses less digits than its factorization.

397682208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 397682208 is about 19941.9710159252. The cubic root of 397682208 is about 735.3804056105.

The spelling of 397682208 in words is "three hundred ninety-seven million, six hundred eighty-two thousand, two hundred eight".