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316344 = 23372269
BaseRepresentation
bin1001101001110111000
3121001221110
41031032320
540110334
610440320
72455200
oct1151670
9531843
10316344
111a6746
121330a0
13b0cb2
1483400
1563ae9
hex4d3b8

316344 has 48 divisors (see below), whose sum is σ = 923400. Its totient is φ = 90048.

The previous prime is 316343. The next prime is 316363. The reversal of 316344 is 443613.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 316344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1042 + ... + 1310.

2316344 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 316344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461700).

316344 is an abundant number, since it is smaller than the sum of its proper divisors (607056).

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

316344 is a wasteful number, since it uses less digits than its factorization.

316344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 281 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 316344 is about 562.4446639448. Note that the first 3 decimals coincide. The cubic root of 316344 is about 68.1375531675.

Adding to 316344 its reverse (443613), we get a palindrome (759957).

The spelling of 316344 in words is "three hundred sixteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 269 294 392 538 588 807 1076 1176 1614 1883 2152 3228 3766 5649 6456 7532 11298 13181 15064 22596 26362 39543 45192 52724 79086 105448 158172 316344