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313124 = 22753211
BaseRepresentation
bin1001100011100100100
3120220112012
41030130210
540004444
610413352
72442620
oct1143444
9526465
10313124
111a4289
12131258
13ac6a6
1482180
1562b9e
hex4c724

313124 has 24 divisors (see below), whose sum is σ = 641088. Its totient is φ = 131040.

The previous prime is 313109. The next prime is 313127. The reversal of 313124 is 421313.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 313099 and 313108.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 313124.

It is not an unprimeable number, because it can be changed into a prime (313127) by changing a digit.

313124 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, 1379 + ... + 1589.

It is an arithmetic number, because the mean of its divisors is an integer number (26712).

2313124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320544).

313124 is an abundant number, since it is smaller than the sum of its proper divisors (327964).

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

313124 is a wasteful number, since it uses less digits than its factorization.

313124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 273 counting only the distinct ones).

The product of its digits is 72, while the sum is 14.

The square root of 313124 is about 559.5748386052. The cubic root of 313124 is about 67.9055782936.

313124 divided by its sum of digits (14) gives a triangular number (22366 = T211).

Adding to 313124 its reverse (421313), we get a palindrome (734437).

The spelling of 313124 in words is "three hundred thirteen thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 28 53 106 211 212 371 422 742 844 1477 1484 2954 5908 11183 22366 44732 78281 156562 313124