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1146483349 = 11217619137
BaseRepresentation
bin100010001010101…
…1111001010010101
32221220022101111021
41010111133022111
54321444431344
6305433041141
740260643024
oct10425371225
92856271437
101146483349
11539183a00
1227bb561b1
131536a751b
14ac39c8bb
156a9b8b84
hex4455f295

1146483349 has 24 divisors (see below), whose sum is σ = 1356335064. Its totient is φ = 964761600.

The previous prime is 1146483343. The next prime is 1146483367. The reversal of 1146483349 is 9433846411.

It can be written as a sum of positive squares in 4 ways, for example, as 12006225 + 1134477124 = 3465^2 + 33682^2 .

It is not a de Polignac number, because 1146483349 - 29 = 1146482837 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1146483343) 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, 120909 + ... + 130045.

It is an arithmetic number, because the mean of its divisors is an integer number (56513961).

Almost surely, 21146483349 is an apocalyptic number.

It is an amenable number.

1146483349 is a deficient number, since it is larger than the sum of its proper divisors (209851715).

1146483349 is a wasteful number, since it uses less digits than its factorization.

1146483349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9237 (or 9226 counting only the distinct ones).

The product of its digits is 248832, while the sum is 43.

The square root of 1146483349 is about 33859.7600257297. The cubic root of 1146483349 is about 1046.6205327528.

The spelling of 1146483349 in words is "one billion, one hundred forty-six million, four hundred eighty-three thousand, three hundred forty-nine".

Divisors: 1 11 17 61 121 187 671 1037 2057 7381 9137 11407 100507 125477 155329 557357 1105577 1708619 6130927 9475069 18794809 67440197 104225759 1146483349