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349048 = 23723271
BaseRepresentation
bin1010101001101111000
3122201210201
41111031320
542132143
611251544
72652430
oct1251570
9581721
10349048
11219277
12149bb4
13c2b4b
14912c0
156d64d
hex55378

349048 has 32 divisors (see below), whose sum is σ = 783360. Its totient is φ = 142560.

The previous prime is 349043. The next prime is 349051. The reversal of 349048 is 840943.

It is a Smith number, since the sum of its digits (28) 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 (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349043) by changing a digit.

349048 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 7 ways as a sum of consecutive naturals, for example, 1153 + ... + 1423.

It is an arithmetic number, because the mean of its divisors is an integer number (24480).

2349048 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 349048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391680).

349048 is an abundant number, since it is smaller than the sum of its proper divisors (434312).

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

349048 is a wasteful number, since it uses less digits than its factorization.

349048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 349048 is about 590.8028435951. The cubic root of 349048 is about 70.4090337925.

The spelling of 349048 in words is "three hundred forty-nine thousand, forty-eight".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 271 322 542 644 1084 1288 1897 2168 3794 6233 7588 12466 15176 24932 43631 49864 87262 174524 349048