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317070 = 232513271
BaseRepresentation
bin1001101011010001110
3121002221100
41031122032
540121240
610443530
72460255
oct1153216
9532840
10317070
111a7246
121335a6
13b1420
148379c
1563e30
hex4d68e

317070 has 48 divisors (see below), whose sum is σ = 891072. Its totient is φ = 77760.

The previous prime is 317063. The next prime is 317071. The reversal of 317070 is 70713.

317070 = T16 + T17 + ... + T123.

317070 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

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 317070.

It is not an unprimeable number, because it can be changed into a prime (317071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1035 + ... + 1305.

It is an arithmetic number, because the mean of its divisors is an integer number (18564).

2317070 is an apocalyptic number.

317070 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 317070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445536).

317070 is an abundant number, since it is smaller than the sum of its proper divisors (574002).

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

317070 is a wasteful number, since it uses less digits than its factorization.

317070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 147, while the sum is 18.

The square root of 317070 is about 563.0896909019. The cubic root of 317070 is about 68.1896378910.

Adding to 317070 its reverse (70713), we get a palindrome (387783).

It can be divided in two parts, 3170 and 70, that added together give a triangular number (3240 = T80).

The spelling of 317070 in words is "three hundred seventeen thousand, seventy", and thus it is an iban number.

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 271 390 542 585 813 1170 1355 1626 2439 2710 3523 4065 4878 7046 8130 10569 12195 17615 21138 24390 31707 35230 52845 63414 105690 158535 317070