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349284012 = 2237114359149
BaseRepresentation
bin10100110100011…
…010011010101100
3220100020110120220
4110310122122230
51203404042022
654354211340
711440602510
oct2464323254
9810213526
10349284012
1116a186280
1298b83b50
135749533c
1434562140
15209e685c
hex14d1a6ac

349284012 has 192 divisors, whose sum is σ = 1064448000. Its totient is φ = 86526720.

The previous prime is 349283983. The next prime is 349284053. The reversal of 349284012 is 210482943.

It is a super-2 number, since 2×3492840122 = 243998642077632288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2344114 + ... + 2344262.

It is an arithmetic number, because the mean of its divisors is an integer number (5544000).

Almost surely, 2349284012 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 349284012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532224000).

349284012 is an abundant number, since it is smaller than the sum of its proper divisors (715163988).

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

349284012 is a wasteful number, since it uses less digits than its factorization.

349284012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 349284012 is about 18689.1415533191. The cubic root of 349284012 is about 704.2489945470.

The spelling of 349284012 in words is "three hundred forty-nine million, two hundred eighty-four thousand, twelve".