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349275312 = 24322425523
BaseRepresentation
bin10100110100011…
…000010010110000
3220100020000122200
4110310120102300
51203403302222
654354103200
711440535241
oct2464302260
9810200580
10349275312
1116a17a791
1298b7ab00
13574913a9
143455ccc8
15209e3eac
hex14d184b0

349275312 has 30 divisors (see below), whose sum is σ = 977486172. Its totient is φ = 116425056.

The previous prime is 349275307. The next prime is 349275331. The reversal of 349275312 is 213572943.

349275312 is a `hidden beast` number, since 34 + 92 + 7 + 531 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1212618 + ... + 1212905.

Almost surely, 2349275312 is an apocalyptic number.

It is an amenable number.

349275312 is an abundant number, since it is smaller than the sum of its proper divisors (628210860).

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

349275312 is a wasteful number, since it uses less digits than its factorization.

349275312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2425537 (or 2425528 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 349275312 is about 18688.9087963958. The cubic root of 349275312 is about 704.2431473310.

The spelling of 349275312 in words is "three hundred forty-nine million, two hundred seventy-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2425523 4851046 7276569 9702092 14553138 19404184 21829707 29106276 38808368 43659414 58212552 87318828 116425104 174637656 349275312