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385487361 = 3272874121
BaseRepresentation
bin10110111110100…
…001001000000001
3222212100210020200
4112332201020001
51242141043421
6102130155413
712360405600
oct2676411001
9885323220
10385487361
111886633a6
12a9122b69
1361b2ca3c
14392a7a37
1523c98726
hex16fa1201

385487361 has 18 divisors (see below), whose sum is σ = 647724402. Its totient is φ = 220278240.

The previous prime is 385487351. The next prime is 385487369. The reversal of 385487361 is 163784583.

385487361 is a `hidden beast` number, since 38 + 548 + 73 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 377330625 + 8156736 = 19425^2 + 2856^2 .

It is not a de Polignac number, because 385487361 - 27 = 385487233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (385487369) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 436620 + ... + 437501.

It is an arithmetic number, because the mean of its divisors is an integer number (35984689).

Almost surely, 2385487361 is an apocalyptic number.

It is an amenable number.

385487361 is a deficient number, since it is larger than the sum of its proper divisors (262237041).

385487361 is a wasteful number, since it uses less digits than its factorization.

385487361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874141 (or 874131 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 385487361 is about 19633.8320508249. The cubic root of 385487361 is about 727.7854705651.

The spelling of 385487361 in words is "three hundred eighty-five million, four hundred eighty-seven thousand, three hundred sixty-one".

Divisors: 1 3 7 9 21 49 63 147 441 874121 2622363 6118847 7867089 18356541 42831929 55069623 128495787 385487361