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349379856 = 24327346607
BaseRepresentation
bin10100110100110…
…001110100010000
3220100102100001200
4110310301310100
51203420123411
654400231200
711441452110
oct2464616420
9810370050
10349379856
1116a241291
129900b500
13574c9b57
1434589040
1520a14e56
hex14d31d10

349379856 has 60 divisors (see below), whose sum is σ = 1117464192. Its totient is φ = 99822528.

The previous prime is 349379851. The next prime is 349379857. The reversal of 349379856 is 658973943.

349379856 is a `hidden beast` number, since 3 + 493 + 79 + 85 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (349379851) 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, 172296 + ... + 174311.

Almost surely, 2349379856 is an apocalyptic number.

349379856 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

349379856 is an abundant number, since it is smaller than the sum of its proper divisors (768084336).

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

349379856 is a wasteful number, since it uses less digits than its factorization.

349379856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346628 (or 346619 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The square root of 349379856 is about 18691.7055401587. The cubic root of 349379856 is about 704.3134042779.

The spelling of 349379856 in words is "three hundred forty-nine million, three hundred seventy-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 346607 693214 1039821 1386428 2079642 2426249 2772856 3119463 4159284 4852498 5545712 6238926 7278747 8318568 9704996 12477852 14557494 16637136 19409992 21836241 24955704 29114988 38819984 43672482 49911408 58229976 87344964 116459952 174689928 349379856