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1206242361 = 341722272
BaseRepresentation
bin100011111100101…
…1100110000111001
310010001202110110000
41013321130300321
54432244223421
6315405543213
741614614402
oct10771346071
93101673400
101206242361
1156998a815
12297b74b09
13162b9b89c
14b62b69a9
1570d70226
hex47e5cc39

1206242361 has 45 divisors (see below), whose sum is σ = 1922617279. Its totient is φ = 753523776.

The previous prime is 1206242329. The next prime is 1206242363. The reversal of 1206242361 is 1632426021.

The square root of 1206242361 is 34731.

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

1206242361 is a `hidden beast` number, since 1 + 2 + 0 + 624 + 2 + 36 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 939116025 + 267126336 = 30645^2 + 16344^2 .

It is not a de Polignac number, because 1206242361 - 25 = 1206242329 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1206242363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5313730 + ... + 5313956.

Almost surely, 21206242361 is an apocalyptic number.

1206242361 is the 34731-st square number.

1206242361 is the 17366-th centered octagonal number.

It is an amenable number.

1206242361 is a deficient number, since it is larger than the sum of its proper divisors (716374918).

1206242361 is an frugal number, since it uses more digits than its factorization.

1206242361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The cubic root of 1206242361 is about 1064.4980217163.

Adding to 1206242361 its reverse (1632426021), we get a palindrome (2838668382).

The spelling of 1206242361 in words is "one billion, two hundred six million, two hundred forty-two thousand, three hundred sixty-one".

Divisors: 1 3 9 17 27 51 81 153 227 289 459 681 867 1377 2043 2601 3859 6129 7803 11577 18387 23409 34731 51529 65603 104193 154587 196809 312579 463761 590427 875993 1391283 1771281 2627979 4173849 5313843 7883937 14891881 23651811 44675643 70955433 134026929 402080787 1206242361