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349781112 = 23332576301
BaseRepresentation
bin10100110110010…
…011110001111000
3220101011201111000
4110312103301320
51204020443422
654413005000
711445043002
oct2466236170
9811151430
10349781112
1116a4957aa
1299183760
135760a695
1434651372
1520a93cac
hex14d93c78

349781112 has 64 divisors (see below), whose sum is σ = 975549600. Its totient is φ = 116121600.

The previous prime is 349781063. The next prime is 349781119. The reversal of 349781112 is 211187943.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349781119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52362 + ... + 58662.

Almost surely, 2349781112 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 349781112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487774800).

349781112 is an abundant number, since it is smaller than the sum of its proper divisors (625768488).

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

349781112 is a wasteful number, since it uses less digits than its factorization.

349781112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6573 (or 6563 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 349781112 is about 18702.4359910681. The cubic root of 349781112 is about 704.5829312248.

The spelling of 349781112 in words is "three hundred forty-nine million, seven hundred eighty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 257 514 771 1028 1542 2056 2313 3084 4626 6168 6301 6939 9252 12602 13878 18504 18903 25204 27756 37806 50408 55512 56709 75612 113418 151224 170127 226836 340254 453672 680508 1361016 1619357 3238714 4858071 6477428 9716142 12954856 14574213 19432284 29148426 38864568 43722639 58296852 87445278 116593704 174890556 349781112