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349429460 = 225137127529
BaseRepresentation
bin10100110100111…
…101111011010100
3220100111212002212
4110310331323110
51203423220320
654401252552
711442046532
oct2464757324
9810455085
10349429460
1116a275586
1299034158
13575165c3
143459d152
1520a249c5
hex14d3ded4

349429460 has 24 divisors (see below), whose sum is σ = 739163880. Its totient is φ = 138750464.

The previous prime is 349429453. The next prime is 349429463. The reversal of 349429460 is 64924943.

It can be written as a sum of positive squares in 4 ways, for example, as 36917776 + 312511684 = 6076^2 + 17678^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349429463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61025 + ... + 66504.

It is an arithmetic number, because the mean of its divisors is an integer number (30798495).

Almost surely, 2349429460 is an apocalyptic number.

It is an amenable number.

349429460 is an abundant number, since it is smaller than the sum of its proper divisors (389734420).

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

349429460 is a wasteful number, since it uses less digits than its factorization.

349429460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127675 (or 127673 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 41.

The square root of 349429460 is about 18693.0323917764. The cubic root of 349429460 is about 704.3467348666.

The spelling of 349429460 in words is "three hundred forty-nine million, four hundred twenty-nine thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 137 274 548 685 1370 2740 127529 255058 510116 637645 1275290 2550580 17471473 34942946 69885892 87357365 174714730 349429460