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349469568 = 27327241151
BaseRepresentation
bin10100110101000…
…111101110000000
3220100120220010100
4110311013232000
51203431011233
654402202400
711442304500
oct2465075600
9810526110
10349469568
1116a2a2728
1299053400
135752b936
14345ada00
1520a31813
hex14d47b80

349469568 has 288 divisors, whose sum is σ = 1206288720. Its totient is φ = 96768000.

The previous prime is 349469543. The next prime is 349469611. The reversal of 349469568 is 865964943.

349469568 is a `hidden beast` number, since 3 + 494 + 6 + 95 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 2314293 + ... + 2314443.

Almost surely, 2349469568 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 349469568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603144360).

349469568 is an abundant number, since it is smaller than the sum of its proper divisors (856819152).

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

349469568 is a wasteful number, since it uses less digits than its factorization.

349469568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 204 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The square root of 349469568 is about 18694.1051671376. The cubic root of 349469568 is about 704.3736824686.

The spelling of 349469568 in words is "three hundred forty-nine million, four hundred sixty-nine thousand, five hundred sixty-eight".