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348809604 = 22311213171087
BaseRepresentation
bin10100110010100…
…110100110000100
3220022100100211020
4110302212212010
51203243401404
654340111140
711433555423
oct2462464604
9808310736
10348809604
11169991900
12989954b0
135735a420
143447b2ba
1520950ed9
hex14ca6984

348809604 has 144 divisors (see below), whose sum is σ = 1021031424. Its totient is φ = 91745280.

The previous prime is 348809597. The next prime is 348809623. The reversal of 348809604 is 406908843.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 320349 + ... + 321435.

It is an arithmetic number, because the mean of its divisors is an integer number (7090496).

Almost surely, 2348809604 is an apocalyptic number.

348809604 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348809604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510515712).

348809604 is an abundant number, since it is smaller than the sum of its proper divisors (672221820).

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

348809604 is a wasteful number, since it uses less digits than its factorization.

348809604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 348809604 is about 18676.4451649665. The cubic root of 348809604 is about 703.9300060620.

The spelling of 348809604 in words is "three hundred forty-eight million, eight hundred nine thousand, six hundred four".

Divisors: 1 2 3 4 6 11 12 13 17 22 26 33 34 39 44 51 52 66 68 78 102 121 132 143 156 187 204 221 242 286 363 374 429 442 484 561 572 663 726 748 858 884 1087 1122 1326 1452 1573 1716 2057 2174 2244 2431 2652 3146 3261 4114 4348 4719 4862 6171 6292 6522 7293 8228 9438 9724 11957 12342 13044 14131 14586 18479 18876 23914 24684 26741 28262 29172 35871 36958 42393 47828 53482 55437 56524 71742 73916 80223 84786 106964 110874 131527 143484 155441 160446 169572 203269 221748 240227 263054 310882 320892 394581 406538 466323 480454 526108 609807 621764 720681 789162 813076 932646 960908 1219614 1441362 1578324 1709851 1865292 2235959 2439228 2642497 2882724 3419702 4471918 5129553 5284994 6707877 6839404 7927491 8943836 10259106 10569988 13415754 15854982 20518212 26831508 29067467 31709964 58134934 87202401 116269868 174404802 348809604