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349406928 = 243213186649
BaseRepresentation
bin10100110100111…
…000011011010000
3220100110201012100
4110310320123100
51203422010203
654401000400
711441624043
oct2464703320
9810421170
10349406928
1116a25a662
1299023100
1357509280
1434594c5a
1520a1cea3
hex14d386d0

349406928 has 60 divisors (see below), whose sum is σ = 1053079300. Its totient is φ = 107509248.

The previous prime is 349406887. The next prime is 349406929. The reversal of 349406928 is 829604943.

It can be written as a sum of positive squares in 2 ways, for example, as 238146624 + 111260304 = 15432^2 + 10548^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349406929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91453 + ... + 95196.

Almost surely, 2349406928 is an apocalyptic number.

It is an amenable number.

349406928 is an abundant number, since it is smaller than the sum of its proper divisors (703672372).

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

349406928 is a wasteful number, since it uses less digits than its factorization.

349406928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186676 (or 186667 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 349406928 is about 18692.4296976075. The cubic root of 349406928 is about 704.3315952523.

The spelling of 349406928 in words is "three hundred forty-nine million, four hundred six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 186649 373298 559947 746596 1119894 1493192 1679841 2239788 2426437 2986384 3359682 4479576 4852874 6719364 7279311 8959152 9705748 13438728 14558622 19411496 21837933 26877456 29117244 38822992 43675866 58234488 87351732 116468976 174703464 349406928