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343980 = 223357213
BaseRepresentation
bin1010011111110101100
3122110212000
41103332230
542001410
611212300
72631600
oct1237654
9573760
10343980
1121548a
12147090
13c0750
148d500
156bdc0
hex53fac

343980 has 144 divisors (see below), whose sum is σ = 1340640. Its totient is φ = 72576.

The previous prime is 343963. The next prime is 343997. The reversal of 343980 is 89343.

343980 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (343963) and next prime (343997).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 343980.

It is an unprimeable number.

343980 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26454 + ... + 26466.

It is an arithmetic number, because the mean of its divisors is an integer number (9310).

2343980 is an apocalyptic number.

343980 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670320).

343980 is an abundant number, since it is smaller than the sum of its proper divisors (996660).

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

343980 is a wasteful number, since it uses less digits than its factorization.

343980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 30 counting only the distinct ones).

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

The square root of 343980 is about 586.4980818383. The cubic root of 343980 is about 70.0666032752.

The spelling of 343980 in words is "three hundred forty-three thousand, nine hundred eighty".