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349956054 = 232783109307
BaseRepresentation
bin10100110110111…
…110011111010110
3220101111121110100
4110312332133112
51204042043204
654420434530
711446402020
oct2466763726
9811447410
10349956054
1116a5a5188
1299248a46
135766c1b6
1434699010
1520acaa39
hex14dbe7d6

349956054 has 96 divisors (see below), whose sum is σ = 887927040. Its totient is φ = 97557696.

The previous prime is 349956049. The next prime is 349956071. The reversal of 349956054 is 450659943.

349956054 is a `hidden beast` number, since 34 + 9 + 9 + 5 + 605 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1139769 + ... + 1140075.

It is an arithmetic number, because the mean of its divisors is an integer number (9249240).

Almost surely, 2349956054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349956054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443963520).

349956054 is an abundant number, since it is smaller than the sum of its proper divisors (537970986).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

349956054 is a wasteful number, since it uses less digits than its factorization.

349956054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 349956054 is about 18707.1123907459. The cubic root of 349956054 is about 704.7003766776.

The spelling of 349956054 in words is "three hundred forty-nine million, nine hundred fifty-six thousand, fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 83 109 126 166 218 249 307 327 498 581 614 654 747 763 921 981 1162 1494 1526 1743 1842 1962 2149 2289 2763 3486 4298 4578 5229 5526 6447 6867 9047 10458 12894 13734 18094 19341 25481 27141 33463 38682 50962 54282 63329 66926 76443 81423 100389 126658 152886 162846 178367 189987 200778 229329 234241 301167 356734 379974 458658 468482 535101 569961 602334 702723 1070202 1139922 1405446 1605303 2108169 2777429 3210606 4216338 5554858 8332287 16664574 19442003 24996861 38884006 49993722 58326009 116652018 174978027 349956054