Search a number
-
+
348528 = 24353137
BaseRepresentation
bin1010101000101110000
3122201002110
41111011300
542123103
611245320
72651055
oct1250560
9581073
10348528
11218944
12149840
13c283b
149102c
156d403
hex55170

348528 has 40 divisors (see below), whose sum is σ = 924048. Its totient is φ = 113152.

The previous prime is 348527. The next prime is 348547. The reversal of 348528 is 825843.

348528 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 3 + 46 + 57 + 82 + 218 + 84 .

It is a junction number, because it is equal to n+sod(n) for n = 348495 and 348504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348527) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2476 + ... + 2612.

2348528 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 348528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462024).

348528 is an abundant number, since it is smaller than the sum of its proper divisors (575520).

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

348528 is a wasteful number, since it uses less digits than its factorization.

348528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 195 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 348528 is about 590.3626004415. The cubic root of 348528 is about 70.3740520764.

The spelling of 348528 in words is "three hundred forty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 137 159 212 274 318 411 424 548 636 822 848 1096 1272 1644 2192 2544 3288 6576 7261 14522 21783 29044 43566 58088 87132 116176 174264 348528