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349775424 = 2632607249
BaseRepresentation
bin10100110110010…
…010011001000000
3220101011102200100
4110312102121000
51204020303144
654412522400
711445020265
oct2466223100
9811142610
10349775424
1116a4914a9
1299180400
1357607c0b
143464d26c
1520a92269
hex14d92640

349775424 has 42 divisors (see below), whose sum is σ = 1002569750. Its totient is φ = 116591616.

The previous prime is 349775411. The next prime is 349775431. The reversal of 349775424 is 424577943.

349775424 is a `hidden beast` number, since 34 + 9 + 77 + 542 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 286286400 + 63489024 = 16920^2 + 7968^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 349775424.

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, 303049 + ... + 304200.

Almost surely, 2349775424 is an apocalyptic number.

It is an amenable number.

349775424 is an abundant number, since it is smaller than the sum of its proper divisors (652794326).

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

349775424 is a wasteful number, since it uses less digits than its factorization.

349775424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607267 (or 607254 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 349775424 is about 18702.2839246975. The cubic root of 349775424 is about 704.5791119892.

It can be divided in two parts, 34977 and 5424, that added together give a square (40401 = 2012).

The spelling of 349775424 in words is "three hundred forty-nine million, seven hundred seventy-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 607249 1214498 1821747 2428996 3643494 4857992 5465241 7286988 9715984 10930482 14573976 19431968 21860964 29147952 38863936 43721928 58295904 87443856 116591808 174887712 349775424