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348109680 = 243517412081
BaseRepresentation
bin10100101111111…
…011101101110000
3220021000210201010
4110233323231300
51203104002210
654313110520
711424612012
oct2457735560
9807023633
10348109680
11169553a56
12986b8440
1357173979
14343381b2
1520863920
hex14bfbb70

348109680 has 160 divisors (see below), whose sum is σ = 1171050048. Its totient is φ = 85196800.

The previous prime is 348109679. The next prime is 348109691. The reversal of 348109680 is 86901843.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166240 + ... + 168320.

Almost surely, 2348109680 is an apocalyptic number.

348109680 is a gapful number since it is divisible by the number (30) 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 348109680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585525024).

348109680 is an abundant number, since it is smaller than the sum of its proper divisors (822940368).

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

348109680 is a wasteful number, since it uses less digits than its factorization.

348109680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2155 (or 2149 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 348109680 is about 18657.6976071540. The cubic root of 348109680 is about 703.4588536836.

The spelling of 348109680 in words is "three hundred forty-eight million, one hundred nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 41 48 51 60 68 80 82 85 102 120 123 136 164 170 204 205 240 246 255 272 328 340 408 410 492 510 615 656 680 697 816 820 984 1020 1230 1360 1394 1640 1968 2040 2081 2091 2460 2788 3280 3485 4080 4162 4182 4920 5576 6243 6970 8324 8364 9840 10405 10455 11152 12486 13940 16648 16728 20810 20910 24972 27880 31215 33296 33456 35377 41620 41820 49944 55760 62430 70754 83240 83640 85321 99888 106131 124860 141508 166480 167280 170642 176885 212262 249720 255963 283016 341284 353770 424524 426605 499440 511926 530655 566032 682568 707540 849048 853210 1023852 1061310 1279815 1365136 1415080 1450457 1698096 1706420 2047704 2122620 2559630 2830160 2900914 3412840 4095408 4245240 4351371 5119260 5801828 6825680 7252285 8490480 8702742 10238520 11603656 14504570 17405484 20477040 21756855 23207312 29009140 34810968 43513710 58018280 69621936 87027420 116036560 174054840 348109680