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349711744 = 273122843
BaseRepresentation
bin10100110110000…
…010110110000000
3220101001012022211
4110312002312000
51204011233434
654411311504
711444333524
oct2466026600
9811035284
10349711744
1116a448678
129914b594
13575b4c35
1434633d84
1520a7d464
hex14d82d80

349711744 has 48 divisors (see below), whose sum is σ = 720143460. Its totient is φ = 169155840.

The previous prime is 349711741. The next prime is 349711759. The reversal of 349711744 is 447117943.

349711744 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 349711697 and 349711706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349711741) by changing a digit.

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, 121587 + ... + 124429.

Almost surely, 2349711744 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 349711744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360071730).

349711744 is an abundant number, since it is smaller than the sum of its proper divisors (370431716).

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

349711744 is an equidigital number, since it uses as much as digits as its factorization.

349711744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2919 (or 2876 counting only the distinct ones).

The product of its digits is 84672, while the sum is 40.

The square root of 349711744 is about 18700.5813813368. The cubic root of 349711744 is about 704.5363509127.

The spelling of 349711744 in words is "three hundred forty-nine million, seven hundred eleven thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 496 961 992 1922 1984 2843 3844 3968 5686 7688 11372 15376 22744 30752 45488 61504 88133 90976 123008 176266 181952 352532 363904 705064 1410128 2732123 2820256 5464246 5640512 10928492 11281024 21856984 43713968 87427936 174855872 349711744