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313230 = 23553197
BaseRepresentation
bin1001100011110001110
3120220200010
41030132032
540010410
610414050
72443131
oct1143616
9526603
10313230
111a4375
12131326
13ac758
1482218
1562c20
hex4c78e

313230 has 32 divisors (see below), whose sum is σ = 769824. Its totient is φ = 81536.

The previous prime is 313219. The next prime is 313241. The reversal of 313230 is 32313.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (313219) and next prime (313241).

It is a super-2 number, since 2×3132302 = 196226065800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

313230 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, 1492 + ... + 1688.

It is an arithmetic number, because the mean of its divisors is an integer number (24057).

2313230 is an apocalyptic number.

313230 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 313230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384912).

313230 is an abundant number, since it is smaller than the sum of its proper divisors (456594).

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

313230 is a wasteful number, since it uses less digits than its factorization.

313230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260.

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 313230 is about 559.6695453569. The cubic root of 313230 is about 67.9132399859.

Adding to 313230 its reverse (32313), we get a palindrome (345543).

The spelling of 313230 in words is "three hundred thirteen thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 53 106 159 197 265 318 394 530 591 795 985 1182 1590 1970 2955 5910 10441 20882 31323 52205 62646 104410 156615 313230