Search a number
-
+
348948 = 2235359
BaseRepresentation
bin1010101001100010100
3122201200000
41111030110
542131243
611251300
72652225
oct1251424
9581600
10348948
11219196
12149b30
13c2aa2
149124c
156d5d3
hex55314

348948 has 36 divisors (see below), whose sum is σ = 917280. Its totient is φ = 115992.

The previous prime is 348937. The next prime is 348949. The reversal of 348948 is 849843.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 348948.

It is not an unprimeable number, because it can be changed into a prime (348949) by changing a digit.

348948 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 11 ways as a sum of consecutive naturals, for example, 793 + ... + 1151.

It is an arithmetic number, because the mean of its divisors is an integer number (25480).

2348948 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 348948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458640).

348948 is an abundant number, since it is smaller than the sum of its proper divisors (568332).

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

348948 is a wasteful number, since it uses less digits than its factorization.

348948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 364 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 348948 is about 590.7182069312. The cubic root of 348948 is about 70.4023092390.

It can be divided in two parts, 348 and 948, that added together give a 4-th power (1296 = 64).

The spelling of 348948 in words is "three hundred forty-eight thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 359 486 718 972 1077 1436 2154 3231 4308 6462 9693 12924 19386 29079 38772 58158 87237 116316 174474 348948