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348488 = 2373127
BaseRepresentation
bin1010101000101001000
3122201000222
41111011020
542122423
611245212
72651000
oct1250510
9581028
10348488
11218908
12149808
13c280a
1491000
156d3c8
hex55148

348488 has 32 divisors (see below), whose sum is σ = 768000. Its totient is φ = 148176.

The previous prime is 348487. The next prime is 348527. The reversal of 348488 is 884843.

It is a super-2 number, since 2×3484882 = 242887772288, which contains 22 as substring.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (348487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2681 + ... + 2807.

It is an arithmetic number, because the mean of its divisors is an integer number (24000).

2348488 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 348488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384000).

348488 is an abundant number, since it is smaller than the sum of its proper divisors (419512).

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

348488 is a wasteful number, since it uses less digits than its factorization.

348488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 136 counting only the distinct ones).

The product of its digits is 24576, while the sum is 35.

The square root of 348488 is about 590.3287219846. The cubic root of 348488 is about 70.3713597344.

It can be divided in two parts, 34848 and 8, that multiplied together give a square (278784 = 5282).

The spelling of 348488 in words is "three hundred forty-eight thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 127 196 254 343 392 508 686 889 1016 1372 1778 2744 3556 6223 7112 12446 24892 43561 49784 87122 174244 348488