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339780 = 22357809
BaseRepresentation
bin1010010111101000100
3122021002110
41102331010
541333110
611141020
72613420
oct1227504
9567073
10339780
11212311
12144770
13bb86c
148bb80
156aa20
hex52f44

339780 has 48 divisors (see below), whose sum is σ = 1088640. Its totient is φ = 77568.

The previous prime is 339769. The next prime is 339799. The reversal of 339780 is 87933.

339780 = T119 + T120 + ... + T154.

339780 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

339780 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 15 ways as a sum of consecutive naturals, for example, 16 + ... + 824.

It is an arithmetic number, because the mean of its divisors is an integer number (22680).

2339780 is an apocalyptic number.

339780 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 339780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544320).

339780 is an abundant number, since it is smaller than the sum of its proper divisors (748860).

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

339780 is a wasteful number, since it uses less digits than its factorization.

339780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 339780 is about 582.9065105143. The cubic root of 339780 is about 69.7802633284.

The spelling of 339780 in words is "three hundred thirty-nine thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 809 1618 2427 3236 4045 4854 5663 8090 9708 11326 12135 16180 16989 22652 24270 28315 33978 48540 56630 67956 84945 113260 169890 339780