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347042920 = 235783109137
BaseRepresentation
bin10100101011110…
…111010001101000
3220012000121101111
4110223313101220
51202320333140
654234200104
711412546640
oct2453672150
9805017344
10347042920
11168995534
1298283034
1356b8c253
143413b520
15207027ea
hex14af7468

347042920 has 128 divisors (see below), whose sum is σ = 918086400. Its totient is φ = 115623936.

The previous prime is 347042911. The next prime is 347042933. The reversal of 347042920 is 29240743.

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, 2533092 + ... + 2533228.

It is an arithmetic number, because the mean of its divisors is an integer number (7172550).

Almost surely, 2347042920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 347042920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459043200).

347042920 is an abundant number, since it is smaller than the sum of its proper divisors (571043480).

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

347042920 is a wasteful number, since it uses less digits than its factorization.

347042920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 347042920 is about 18629.0880077367. The cubic root of 347042920 is about 702.7395501063.

The spelling of 347042920 in words is "three hundred forty-seven million, forty-two thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 83 109 137 140 166 218 274 280 332 415 436 545 548 581 664 685 763 830 872 959 1090 1096 1162 1370 1526 1660 1918 2180 2324 2740 2905 3052 3320 3815 3836 4360 4648 4795 5480 5810 6104 7630 7672 9047 9590 11371 11620 14933 15260 18094 19180 22742 23240 29866 30520 36188 38360 45235 45484 56855 59732 63329 72376 74665 79597 90470 90968 104531 113710 119464 126658 149330 159194 180940 209062 227420 253316 298660 316645 318388 361880 397985 418124 454840 506632 522655 597320 633290 636776 795970 836248 1045310 1239439 1266580 1591940 2090620 2478878 2533160 3183880 4181240 4957756 6197195 8676073 9915512 12394390 17352146 24788780 34704292 43380365 49577560 69408584 86760730 173521460 347042920