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349844112 = 243219127867
BaseRepresentation
bin10100110110100…
…011001010010000
3220101021220220100
4110312203022100
51204030002422
654414212400
711445424452
oct2466431220
9811256810
10349844112
1116a529072
12991b4100
1357630267
143466a2d2
1520aa77ac
hex14da3290

349844112 has 60 divisors (see below), whose sum is σ = 1030616080. Its totient is φ = 110476224.

The previous prime is 349844101. The next prime is 349844113. The reversal of 349844112 is 211448943.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (349844113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61198 + ... + 66669.

Almost surely, 2349844112 is an apocalyptic number.

It is an amenable number.

349844112 is an abundant number, since it is smaller than the sum of its proper divisors (680771968).

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

349844112 is a wasteful number, since it uses less digits than its factorization.

349844112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127900 (or 127891 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 349844112 is about 18704.1201878089. The cubic root of 349844112 is about 704.6252301163.

The spelling of 349844112 in words is "three hundred forty-nine million, eight hundred forty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 127867 255734 383601 511468 767202 1022936 1150803 1534404 2045872 2301606 2429473 3068808 4603212 4858946 6137616 7288419 9206424 9717892 14576838 18412848 19435784 21865257 29153676 38871568 43730514 58307352 87461028 116614704 174922056 349844112