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397071441 = 321314922777
BaseRepresentation
bin10111101010101…
…101010001010001
31000200011022121200
4113222231101101
51303122241231
6103222341413
712561023454
oct2752552121
91020138550
10397071441
11194155718
12b0b8a869
1364357620
143aa4149b
1524cd5be6
hex17aad451

397071441 has 24 divisors (see below), whose sum is σ = 621839400. Its totient is φ = 242701056.

The previous prime is 397071439. The next prime is 397071461. The reversal of 397071441 is 144170793.

It can be written as a sum of positive squares in 4 ways, for example, as 17640000 + 379431441 = 4200^2 + 19479^2 .

It is not a de Polignac number, because 397071441 - 21 = 397071439 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 397071396 and 397071405.

It is not an unprimeable number, because it can be changed into a prime (397071401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6045 + ... + 28821.

It is an arithmetic number, because the mean of its divisors is an integer number (25909975).

Almost surely, 2397071441 is an apocalyptic number.

It is an amenable number.

397071441 is a deficient number, since it is larger than the sum of its proper divisors (224767959).

397071441 is a wasteful number, since it uses less digits than its factorization.

397071441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22945 (or 22942 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 397071441 is about 19926.6515250305. The cubic root of 397071441 is about 735.0037428658.

The spelling of 397071441 in words is "three hundred ninety-seven million, seventy-one thousand, four hundred forty-one".

Divisors: 1 3 9 13 39 117 149 447 1341 1937 5811 17433 22777 68331 204993 296101 888303 2664909 3393773 10181319 30543957 44119049 132357147 397071441