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1030819329 = 32929123289
BaseRepresentation
bin111101011100010…
…000111000000001
32122211200001021200
4331130100320001
54102342204304
6250142011413
734354551111
oct7534207001
92584601250
101030819329
11489963901
12249276b69
1313573b087
149ac91041
156076ce39
hex3d710e01

1030819329 has 12 divisors (see below), whose sum is σ = 1490576100. Its totient is φ = 686467584.

The previous prime is 1030819303. The next prime is 1030819333. The reversal of 1030819329 is 9239180301.

1030819329 is a `hidden beast` number, since 10 + 308 + 19 + 329 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 71368704 + 959450625 = 8448^2 + 30975^2 .

It is not a de Polignac number, because 1030819329 - 229 = 493948417 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1030819293 and 1030819302.

It is not an unprimeable number, because it can be changed into a prime (1730819329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53284 + ... + 70005.

It is an arithmetic number, because the mean of its divisors is an integer number (124214675).

Almost surely, 21030819329 is an apocalyptic number.

It is an amenable number.

1030819329 is a deficient number, since it is larger than the sum of its proper divisors (459756771).

1030819329 is a wasteful number, since it uses less digits than its factorization.

1030819329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124224 (or 124221 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 1030819329 is about 32106.3752080486. The cubic root of 1030819329 is about 1010.1693435621.

The spelling of 1030819329 in words is "one billion, thirty million, eight hundred nineteen thousand, three hundred twenty-nine".

Divisors: 1 3 9 929 2787 8361 123289 369867 1109601 114535481 343606443 1030819329