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313140 = 223517307
BaseRepresentation
bin1001100011100110100
3120220112210
41030130310
540010030
610413420
72442642
oct1143464
9526483
10313140
111a42a3
12131270
13ac6b9
1482192
1562bb0
hex4c734

313140 has 48 divisors (see below), whose sum is σ = 931392. Its totient is φ = 78336.

The previous prime is 313133. The next prime is 313147. The reversal of 313140 is 41313.

It is an interprime number because it is at equal distance from previous prime (313133) and next prime (313147).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 313140.

It is not an unprimeable number, because it can be changed into a prime (313147) by changing a digit.

313140 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 15 ways as a sum of consecutive naturals, for example, 867 + ... + 1173.

It is an arithmetic number, because the mean of its divisors is an integer number (19404).

2313140 is an apocalyptic number.

313140 is a gapful number since it is divisible by the number (30) 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 313140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465696).

313140 is an abundant number, since it is smaller than the sum of its proper divisors (618252).

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

313140 is a wasteful number, since it uses less digits than its factorization.

313140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 313140 is about 559.5891349910. The cubic root of 313140 is about 67.9067348862.

Adding to 313140 its reverse (41313), we get a palindrome (354453).

The spelling of 313140 in words is "three hundred thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 307 340 510 614 921 1020 1228 1535 1842 3070 3684 4605 5219 6140 9210 10438 15657 18420 20876 26095 31314 52190 62628 78285 104380 156570 313140