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348192 = 25331331
BaseRepresentation
bin1010101000000100000
3122200122000
41111000200
542120232
611244000
72650065
oct1250040
9580560
10348192
11218669
12149600
13c2640
1490c6c
156d27c
hex55020

348192 has 96 divisors (see below), whose sum is σ = 1128960. Its totient is φ = 103680.

The previous prime is 348191. The next prime is 348209. The reversal of 348192 is 291843.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (27) 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 (27).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is one of the 548 Lynch-Bell numbers.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11217 + ... + 11247.

It is an arithmetic number, because the mean of its divisors is an integer number (11760).

2348192 is an apocalyptic number.

348192 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564480).

348192 is an abundant number, since it is smaller than the sum of its proper divisors (780768).

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

348192 is a wasteful number, since it uses less digits than its factorization.

348192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 49 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 348192 is about 590.0779609509. The cubic root of 348192 is about 70.3514299972.

The spelling of 348192 in words is "three hundred forty-eight thousand, one hundred ninety-two".