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317148 = 2231319107
BaseRepresentation
bin1001101011011011100
3121010001020
41031123130
540122043
610444140
72460426
oct1153334
9533036
10317148
111a7307
12133650
13b1480
1483816
1563e83
hex4d6dc

317148 has 48 divisors (see below), whose sum is σ = 846720. Its totient is φ = 91584.

The previous prime is 317123. The next prime is 317159. The reversal of 317148 is 841713.

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 317148.

It is an unprimeable 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 15 ways as a sum of consecutive naturals, for example, 2911 + ... + 3017.

It is an arithmetic number, because the mean of its divisors is an integer number (17640).

2317148 is an apocalyptic number.

317148 is a gapful number since it is divisible by the number (38) 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 317148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423360).

317148 is an abundant number, since it is smaller than the sum of its proper divisors (529572).

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

317148 is a wasteful number, since it uses less digits than its factorization.

317148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 144 counting only the distinct ones).

The product of its digits is 672, while the sum is 24.

The square root of 317148 is about 563.1589473674. The cubic root of 317148 is about 68.1952290388.

It can be divided in two parts, 317 and 148, that added together give a triangular number (465 = T30).

The spelling of 317148 in words is "three hundred seventeen thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 107 114 156 214 228 247 321 428 494 642 741 988 1284 1391 1482 2033 2782 2964 4066 4173 5564 6099 8132 8346 12198 16692 24396 26429 52858 79287 105716 158574 317148