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348814389 = 372112383113
BaseRepresentation
bin10100110010100…
…111110000110101
3220022100121101110
4110302213300311
51203244030024
654340145233
711433605400
oct2462476065
9808317343
10348814389
11169995460
1298998219
135735c661
143447cd37
1520952629
hex14ca7c35

348814389 has 96 divisors (see below), whose sum is σ = 628798464. Its totient is φ = 169720320.

The previous prime is 348814373. The next prime is 348814393. The reversal of 348814389 is 983418843.

It is not a de Polignac number, because 348814389 - 24 = 348814373 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348814289) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3086797 + ... + 3086909.

It is an arithmetic number, because the mean of its divisors is an integer number (6549984).

Almost surely, 2348814389 is an apocalyptic number.

It is an amenable number.

348814389 is a deficient number, since it is larger than the sum of its proper divisors (279984075).

348814389 is a wasteful number, since it uses less digits than its factorization.

348814389 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 240 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The square root of 348814389 is about 18676.5732670637. The cubic root of 348814389 is about 703.9332249047.

The spelling of 348814389 in words is "three hundred forty-eight million, eight hundred fourteen thousand, three hundred eighty-nine".

Divisors: 1 3 7 11 21 23 33 49 69 77 83 113 147 161 231 249 253 339 483 539 581 759 791 913 1127 1243 1617 1743 1771 1909 2373 2599 2739 3381 3729 4067 5313 5537 5727 6391 7797 8701 9379 12201 12397 13363 16611 18193 19173 20999 26103 28137 28589 37191 40089 44737 54579 60907 62997 65653 85767 93541 103169 127351 134211 146993 182721 196959 200123 215717 280623 309507 382053 440979 459571 600369 647151 722183 1028951 1378713 1400861 1510019 2166549 2372887 3086853 4202583 4530057 5055281 7118661 10570133 15165843 16610209 31710399 49830627 116271463 348814389