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317952 = 293323
BaseRepresentation
bin1001101101000000000
3121011011000
41031220000
540133302
610452000
72462655
oct1155000
9534130
10317952
111a7978
12134000
13b194b
1483c2c
156431c
hex4da00

317952 has 80 divisors (see below), whose sum is σ = 982080. Its totient is φ = 101376.

The previous prime is 317923. The next prime is 317957. The reversal of 317952 is 259713.

It can be divided in two parts, 3 and 17952, that added together give a triangular number (17955 = T189).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 8.

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 317952.

It is not an unprimeable number, because it can be changed into a prime (317957) by changing a digit.

317952 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, 13813 + ... + 13835.

It is an arithmetic number, because the mean of its divisors is an integer number (12276).

2317952 is an apocalyptic number.

317952 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 317952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491040).

317952 is an abundant number, since it is smaller than the sum of its proper divisors (664128).

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

317952 is an equidigital number, since it uses as much as digits as its factorization.

317952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 28 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 317952 is about 563.8723259746. The cubic root of 317952 is about 68.2528075164.

The spelling of 317952 in words is "three hundred seventeen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 128 138 144 184 192 207 216 256 276 288 368 384 414 432 512 552 576 621 736 768 828 864 1104 1152 1242 1472 1536 1656 1728 2208 2304 2484 2944 3312 3456 4416 4608 4968 5888 6624 6912 8832 9936 11776 13248 13824 17664 19872 26496 35328 39744 52992 79488 105984 158976 317952