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348390 = 23257279
BaseRepresentation
bin1010101000011100110
3122200220100
41111003212
542122030
611244530
72650500
oct1250346
9580810
10348390
11218829
12149746
13c2763
1490d70
156d360
hex550e6

348390 has 72 divisors (see below), whose sum is σ = 1067040. Its totient is φ = 78624.

The previous prime is 348389. The next prime is 348401. The reversal of 348390 is 93843.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4371 + ... + 4449.

It is an arithmetic number, because the mean of its divisors is an integer number (14820).

2348390 is an apocalyptic number.

348390 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 348390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533520).

348390 is an abundant number, since it is smaller than the sum of its proper divisors (718650).

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

348390 is a wasteful number, since it uses less digits than its factorization.

348390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 96 counting only the distinct ones).

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

The square root of 348390 is about 590.2457115473. The cubic root of 348390 is about 70.3647626255.

The spelling of 348390 in words is "three hundred forty-eight thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 79 90 98 105 126 147 158 210 237 245 294 315 395 441 474 490 553 630 711 735 790 882 1106 1185 1422 1470 1659 2205 2370 2765 3318 3555 3871 4410 4977 5530 7110 7742 8295 9954 11613 16590 19355 23226 24885 34839 38710 49770 58065 69678 116130 174195 348390