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3029004729 = 328910133733
BaseRepresentation
bin1011010010001010…
…1111000110111001
321211002121101100100
42310202233012321
522200411122404
61220322030013
7135030054402
oct26442570671
97732541310
103029004729
1113148810a3
127064a8309
133936cb4ba
1420a3d69a9
1512adc2d39
hexb48af1b9

3029004729 has 24 divisors (see below), whose sum is σ = 4429942920. Its totient is φ = 1994141952.

The previous prime is 3029004707. The next prime is 3029004743. The reversal of 3029004729 is 9274009203.

It can be written as a sum of positive squares in 4 ways, for example, as 42928704 + 2986076025 = 6552^2 + 54645^2 .

It is not a de Polignac number, because 3029004729 - 25 = 3029004697 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3029004693 and 3029004702.

It is not an unprimeable number, because it can be changed into a prime (3029004779) 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 23 ways as a sum of consecutive naturals, for example, 809547 + ... + 813279.

It is an arithmetic number, because the mean of its divisors is an integer number (184580955).

Almost surely, 23029004729 is an apocalyptic number.

It is an amenable number.

3029004729 is a deficient number, since it is larger than the sum of its proper divisors (1400938191).

3029004729 is a wasteful number, since it uses less digits than its factorization.

3029004729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4841 (or 4838 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3029004729 is about 55036.3945857648. The cubic root of 3029004729 is about 1446.8826773358.

The spelling of 3029004729 in words is "three billion, twenty-nine million, four thousand, seven hundred twenty-nine".

Divisors: 1 3 9 89 267 801 1013 3039 3733 9117 11199 33597 90157 270471 332237 811413 996711 2990133 3781529 11344587 34033761 336556081 1009668243 3029004729