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343485888 = 2638920101
BaseRepresentation
bin10100011110010…
…010110111000000
3212221022220001120
4110132102313000
51200413022023
654030032240
711340403404
oct2436226700
9787286046
10343485888
11166986039
1297048680
13562151b5
1433893104
152024d8e3
hex14792dc0

343485888 has 56 divisors (see below), whose sum is σ = 919063440. Its totient is φ = 113203200.

The previous prime is 343485871. The next prime is 343485893. The reversal of 343485888 is 888584343.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 343485888.

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 7 ways as a sum of consecutive naturals, for example, 7038 + ... + 27138.

Almost surely, 2343485888 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 343485888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459531720).

343485888 is an abundant number, since it is smaller than the sum of its proper divisors (575577552).

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

343485888 is a wasteful number, since it uses less digits than its factorization.

343485888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20205 (or 20195 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 51.

The square root of 343485888 is about 18533.3722781365. The cubic root of 343485888 is about 700.3303800999.

The spelling of 343485888 in words is "three hundred forty-three million, four hundred eighty-five thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 178 192 267 356 534 712 1068 1424 2136 2848 4272 5696 8544 17088 20101 40202 60303 80404 120606 160808 241212 321616 482424 643232 964848 1286464 1788989 1929696 3577978 3859392 5366967 7155956 10733934 14311912 21467868 28623824 42935736 57247648 85871472 114495296 171742944 343485888