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340416450 = 232521168771
BaseRepresentation
bin10100010010100…
…101011111000010
3212201112221120200
4110102211133002
51144121311300
653440150030
711302330533
oct2422453702
9781487520
10340416450
11165179a10
1296008316
13556ac06a
14332d468a
151ed44200
hex144a57c2

340416450 has 72 divisors (see below), whose sum is σ = 997744176. Its totient is φ = 82524000.

The previous prime is 340416443. The next prime is 340416463. The reversal of 340416450 is 54614043.

It is a super-3 number, since 3×3404164503 (a number of 27 digits) contains 333 as substring.

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, 29436 + ... + 39335.

It is an arithmetic number, because the mean of its divisors is an integer number (13857558).

Almost surely, 2340416450 is an apocalyptic number.

340416450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

340416450 is an abundant number, since it is smaller than the sum of its proper divisors (657327726).

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

340416450 is a wasteful number, since it uses less digits than its factorization.

340416450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68800 (or 68792 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 340416450 is about 18450.3780449074. The cubic root of 340416450 is about 698.2380517691.

The spelling of 340416450 in words is "three hundred forty million, four hundred sixteen thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 150 165 198 225 275 330 450 495 550 825 990 1650 2475 4950 68771 137542 206313 343855 412626 618939 687710 756481 1031565 1237878 1512962 1719275 2063130 2269443 3094695 3438550 3782405 4538886 5157825 6189390 6808329 7564810 10315650 11347215 13616658 15473475 18912025 22694430 30946950 34041645 37824050 56736075 68083290 113472150 170208225 340416450