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343890 = 23253821
BaseRepresentation
bin1010011111101010010
3122110201200
41103331102
542001030
611212030
72631411
oct1237522
9573650
10343890
11215408
12147016
13c06b1
148d478
156bd60
hex53f52

343890 has 24 divisors (see below), whose sum is σ = 894348. Its totient is φ = 91680.

The previous prime is 343831. The next prime is 343891. The reversal of 343890 is 98343.

343890 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 335241 + 8649 = 579^2 + 93^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (343891) by changing a digit.

343890 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1821 + ... + 2000.

2343890 is an apocalyptic number.

343890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

343890 is an abundant number, since it is smaller than the sum of its proper divisors (550458).

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

343890 is a wasteful number, since it uses less digits than its factorization.

343890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3834 (or 3831 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 343890 is about 586.4213502252. The cubic root of 343890 is about 70.0604919273.

The spelling of 343890 in words is "three hundred forty-three thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 3821 7642 11463 19105 22926 34389 38210 57315 68778 114630 171945 343890