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463067361 = 367972
BaseRepresentation
bin11011100110011…
…101100011100001
31012021100021000000
4123212131203201
51422021123421
6113541050213
714322002421
oct3346354341
91167307000
10463067361
112184313a9
1210b0b6969
1374c23773
1445700481
152a9c0226
hex1b99d8e1

463067361 has 21 divisors (see below), whose sum is σ = 695155651. Its totient is φ = 308324232.

The previous prime is 463067347. The next prime is 463067377. The reversal of 463067361 is 163760364.

It is a happy number.

The square root of 463067361 is 21519.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 224550225 + 238517136 = 14985^2 + 15444^2 .

It is not a de Polignac number, because 463067361 - 25 = 463067329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (463067461) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 580615 + ... + 581411.

Almost surely, 2463067361 is an apocalyptic number.

463067361 is the 21519-th square number.

463067361 is the 10760-th centered octagonal number.

It is an amenable number.

463067361 is a deficient number, since it is larger than the sum of its proper divisors (232088290).

463067361 is an frugal number, since it uses more digits than its factorization.

463067361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1612 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The cubic root of 463067361 is about 773.6562832967.

Multiplying 463067361 by its sum of digits (36), we get a square (16670424996 = 1291142).

The spelling of 463067361 in words is "four hundred sixty-three million, sixty-seven thousand, three hundred sixty-one".

Divisors: 1 3 9 27 81 243 729 797 2391 7173 21519 64557 193671 581013 635209 1905627 5716881 17150643 51451929 154355787 463067361