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248634 = 23219727
BaseRepresentation
bin111100101100111010
3110122001200
4330230322
530424014
65155030
72053611
oct745472
9418050
10248634
1115a891
12bba76
1389229
1466878
154da09
hex3cb3a

248634 has 24 divisors (see below), whose sum is σ = 567840. Its totient is φ = 78408.

The previous prime is 248627. The next prime is 248639. The reversal of 248634 is 436842.

248634 is a `hidden beast` number, since 24 + 8 + 634 = 666.

It is a Curzon number.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 248598 and 248607.

It is not an unprimeable number, because it can be changed into a prime (248639) by changing a digit.

248634 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22 + ... + 705.

It is an arithmetic number, because the mean of its divisors is an integer number (23660).

2248634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283920).

248634 is an abundant number, since it is smaller than the sum of its proper divisors (319206).

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

248634 is a wasteful number, since it uses less digits than its factorization.

248634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 751 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 248634 is about 498.6321289287. The cubic root of 248634 is about 62.8811060738.

The spelling of 248634 in words is "two hundred forty-eight thousand, six hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 727 1454 2181 4362 6543 13086 13813 27626 41439 82878 124317 248634