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343716345 = 3357557653
BaseRepresentation
bin10100011111001…
…011000111111001
3212221202121012000
4110133023013321
51200442410340
654035011213
711342353320
oct2437130771
9787677160
10343716345
111670231a5
1297139b09
135629606b
14339130b7
1520296d30
hex147cb1f9

343716345 has 64 divisors (see below), whose sum is σ = 700669440. Its totient is φ = 156605184.

The previous prime is 343716343. The next prime is 343716361. The reversal of 343716345 is 543617343.

It is not a de Polignac number, because 343716345 - 21 = 343716343 is a prime.

It is not an unprimeable number, because it can be changed into a prime (343716343) 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 63 ways as a sum of consecutive naturals, for example, 526039 + ... + 526691.

It is an arithmetic number, because the mean of its divisors is an integer number (10947960).

Almost surely, 2343716345 is an apocalyptic number.

343716345 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

343716345 is an abundant number, since it is smaller than the sum of its proper divisors (356953095).

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

343716345 is a wasteful number, since it uses less digits than its factorization.

343716345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231 (or 1225 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 343716345 is about 18539.5885876683. The cubic root of 343716345 is about 700.4869706732.

The spelling of 343716345 in words is "three hundred forty-three million, seven hundred sixteen thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 557 653 945 1671 1959 2785 3265 3899 4571 5013 5877 8355 9795 11697 13713 15039 17631 19495 22855 25065 29385 35091 41139 58485 68565 75195 88155 105273 123417 175455 205695 363721 526365 617085 1091163 1818605 2546047 3273489 5455815 7638141 9820467 12730235 16367445 22914423 38190705 49102335 68743269 114572115 343716345