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348330 = 23517683
BaseRepresentation
bin1010101000010101010
3122200211010
41111002222
542121310
611244350
72650353
oct1250252
9580733
10348330
11218784
121496b6
13c2718
1490d2a
156d320
hex550aa

348330 has 32 divisors (see below), whose sum is σ = 886464. Its totient is φ = 87296.

The previous prime is 348323. The next prime is 348353. The reversal of 348330 is 33843.

348330 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 348297 and 348306.

It is an unprimeable number.

348330 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, 169 + ... + 851.

It is an arithmetic number, because the mean of its divisors is an integer number (27702).

2348330 is an apocalyptic number.

348330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 348330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443232).

348330 is an abundant number, since it is smaller than the sum of its proper divisors (538134).

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

348330 is a wasteful number, since it uses less digits than its factorization.

348330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710.

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 348330 is about 590.1948830683. The cubic root of 348330 is about 70.3607229687.

The spelling of 348330 in words is "three hundred forty-eight thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 683 1366 2049 3415 4098 6830 10245 11611 20490 23222 34833 58055 69666 116110 174165 348330