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34289343 = 3211223372
BaseRepresentation
bin1000001011001…
…1011010111111
32101112002010200
42002303122333
532234224333
63222534543
7564311634
oct202633277
971462120
1034289343
11183a0100
12b597453
13714746a
1447a818b
153024c13
hex20b36bf

34289343 has 54 divisors (see below), whose sum is σ = 58384872. Its totient is φ = 19340640.

The previous prime is 34289303. The next prime is 34289351. The reversal of 34289343 is 34398243.

It is a happy number.

34289343 is a `hidden beast` number, since 34 + 289 + 343 = 666.

It is not a de Polignac number, because 34289343 - 26 = 34289279 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34289298 and 34289307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34289303) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 926721 + ... + 926757.

Almost surely, 234289343 is an apocalyptic number.

34289343 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34289343 is a deficient number, since it is larger than the sum of its proper divisors (24095529).

34289343 is a wasteful number, since it uses less digits than its factorization.

34289343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 74 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 34289343 is about 5855.7102899648. The cubic root of 34289343 is about 324.8775649270.

Subtracting 34289343 from its reverse (34398243), we obtain a square (108900 = 3302).

The spelling of 34289343 in words is "thirty-four million, two hundred eighty-nine thousand, three hundred forty-three".

Divisors: 1 3 9 11 23 33 37 69 99 111 121 207 253 333 363 407 759 851 1089 1221 1369 2277 2553 2783 3663 4107 4477 7659 8349 9361 12321 13431 15059 25047 28083 31487 40293 45177 84249 94461 102971 135531 165649 283383 308913 346357 496947 926739 1039071 1490841 3117213 3809927 11429781 34289343