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350008029 = 3272793669
BaseRepresentation
bin10100110111001…
…011001011011101
3220101121020202100
4110313023023131
51204100224104
654421515313
711450006400
oct2467131335
9811536670
10350008029
1116a630238
1299272b39
1357689a57
14346add37
1520adb139
hex14dcb2dd

350008029 has 18 divisors (see below), whose sum is σ = 588109470. Its totient is φ = 200004336.

The previous prime is 350007991. The next prime is 350008031. The reversal of 350008029 is 920800053.

It can be written as a sum of positive squares in only one way, i.e., 327682404 + 22325625 = 18102^2 + 4725^2 .

It is not a de Polignac number, because 350008029 - 215 = 349975261 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 350007993 and 350008011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350008039) 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 17 ways as a sum of consecutive naturals, for example, 396394 + ... + 397275.

Almost surely, 2350008029 is an apocalyptic number.

It is an amenable number.

350008029 is a deficient number, since it is larger than the sum of its proper divisors (238101441).

350008029 is a wasteful number, since it uses less digits than its factorization.

350008029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793689 (or 793679 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 350008029 is about 18708.5015166902. The cubic root of 350008029 is about 704.7352619997.

The spelling of 350008029 in words is "three hundred fifty million, eight thousand, twenty-nine".

Divisors: 1 3 7 9 21 49 63 147 441 793669 2381007 5555683 7143021 16667049 38889781 50001147 116669343 350008029