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344129013 = 33231075179
BaseRepresentation
bin10100100000101…
…111110111110101
3212222112120021000
4110200233313311
51201044112023
654051513513
711346022404
oct2440576765
9788476230
10344129013
11167285248
12972b8899
13563abb47
14339bd63b
1520329243
hex1482fdf5

344129013 has 32 divisors (see below), whose sum is σ = 537062400. Its totient is φ = 217351728.

The previous prime is 344129003. The next prime is 344129021. The reversal of 344129013 is 310921443.

It is not a de Polignac number, because 344129013 - 24 = 344128997 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344129003) 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 31 ways as a sum of consecutive naturals, for example, 63858 + ... + 69036.

It is an arithmetic number, because the mean of its divisors is an integer number (16783200).

Almost surely, 2344129013 is an apocalyptic number.

It is an amenable number.

344129013 is a deficient number, since it is larger than the sum of its proper divisors (192933387).

344129013 is a wasteful number, since it uses less digits than its factorization.

344129013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5318 (or 5312 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 344129013 is about 18550.7146223535. The cubic root of 344129013 is about 700.7671949072.

The spelling of 344129013 in words is "three hundred forty-four million, one hundred twenty-nine thousand, thirteen".

Divisors: 1 3 9 23 27 69 107 207 321 621 963 2461 2889 5179 7383 15537 22149 46611 66447 119117 139833 357351 554153 1072053 1662459 3216159 4987377 12745519 14962131 38236557 114709671 344129013