Search a number
-
+
348040 = 235711113
BaseRepresentation
bin1010100111110001000
3122200102101
41110332020
542114130
611243144
72646460
oct1247610
9580371
10348040
11218540
121494b4
13c2554
1490ba0
156d1ca
hex54f88

348040 has 64 divisors (see below), whose sum is σ = 984960. Its totient is φ = 107520.

The previous prime is 348031. The next prime is 348043. The reversal of 348040 is 40843.

348040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3480402 = 242263683200, which contains 22 as substring.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 347999 and 348017.

It is not an unprimeable number, because it can be changed into a prime (348043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3024 + ... + 3136.

It is an arithmetic number, because the mean of its divisors is an integer number (15390).

2348040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492480).

348040 is an abundant number, since it is smaller than the sum of its proper divisors (636920).

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

348040 is a wasteful number, since it uses less digits than its factorization.

348040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 348040 is about 589.9491503511. The cubic root of 348040 is about 70.3411914183.

Adding to 348040 its reverse (40843), we get a palindrome (388883).

The spelling of 348040 in words is "three hundred forty-eight thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 113 140 154 220 226 280 308 385 440 452 565 616 770 791 904 1130 1243 1540 1582 2260 2486 3080 3164 3955 4520 4972 6215 6328 7910 8701 9944 12430 15820 17402 24860 31640 34804 43505 49720 69608 87010 174020 348040