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349909890 = 235111955807
BaseRepresentation
bin10100110110110…
…011001110000010
3220101102021010120
4110312303032002
51204034104030
654415441110
711446120311
oct2466631602
9811367116
10349909890
1116a573530
1299226196
1357654195
1434686278
1520abc010
hex14db3382

349909890 has 64 divisors (see below), whose sum is σ = 964362240. Its totient is φ = 80360640.

The previous prime is 349909801. The next prime is 349909891. The reversal of 349909890 is 98909943.

It is a super-2 number, since 2×3499098902 = 244873862239624200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (349909891) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21634 + ... + 34173.

It is an arithmetic number, because the mean of its divisors is an integer number (15068160).

Almost surely, 2349909890 is an apocalyptic number.

349909890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

349909890 is an abundant number, since it is smaller than the sum of its proper divisors (614452350).

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

349909890 is a wasteful number, since it uses less digits than its factorization.

349909890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55847.

The product of its (nonzero) digits is 629856, while the sum is 51.

The square root of 349909890 is about 18705.8784877909. The cubic root of 349909890 is about 704.6693887689.

The spelling of 349909890 in words is "three hundred forty-nine million, nine hundred nine thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 165 190 209 285 330 418 570 627 1045 1254 2090 3135 6270 55807 111614 167421 279035 334842 558070 613877 837105 1060333 1227754 1674210 1841631 2120666 3069385 3180999 3683262 5301665 6138770 6361998 9208155 10603330 11663663 15904995 18416310 23327326 31809990 34990989 58318315 69981978 116636630 174954945 349909890