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349881070 = 257211139467
BaseRepresentation
bin10100110110101…
…100001011101110
3220101100210121011
4110312230023232
51204032143240
654415055434
711445640300
oct2466541356
9811323534
10349881070
1116a553910
129921157a
1357644026
1434679970
1520ab36ea
hex14dac2ee

349881070 has 96 divisors (see below), whose sum is σ = 806682240. Its totient is φ = 108037440.

The previous prime is 349881031. The next prime is 349881071. The reversal of 349881070 is 70188943.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349881071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 748977 + ... + 749443.

It is an arithmetic number, because the mean of its divisors is an integer number (8402940).

Almost surely, 2349881070 is an apocalyptic number.

349881070 is an abundant number, since it is smaller than the sum of its proper divisors (456801170).

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

349881070 is a wasteful number, since it uses less digits than its factorization.

349881070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 349881070 is about 18705.1081258570. The cubic root of 349881070 is about 704.6500417599.

The spelling of 349881070 in words is "three hundred forty-nine million, eight hundred eighty-one thousand, seventy".

Divisors: 1 2 5 7 10 11 14 22 35 49 55 70 77 98 110 139 154 245 278 385 467 490 539 695 770 934 973 1078 1390 1529 1946 2335 2695 3058 3269 4670 4865 5137 5390 6538 6811 7645 9730 10274 10703 13622 15290 16345 21406 22883 25685 32690 34055 35959 45766 51370 53515 64913 68110 71918 74921 107030 114415 129826 149842 179795 228830 251713 324565 359590 374605 454391 503426 649130 714043 749210 908782 1258565 1428086 2271955 2517130 3180737 3570215 4543910 4998301 6361474 7140430 9996602 15903685 24991505 31807370 34988107 49983010 69976214 174940535 349881070