Search a number
-
+
316400 = 24527113
BaseRepresentation
bin1001101001111110000
3121002000112
41031033300
540111100
610440452
72455310
oct1151760
9532015
10316400
111a6797
12133128
13b1026
1483440
1563b35
hex4d3f0

316400 has 60 divisors (see below), whose sum is σ = 876432. Its totient is φ = 107520.

The previous prime is 316391. The next prime is 316403. The reversal of 316400 is 4613.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316403) by changing a digit.

316400 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 11 ways as a sum of consecutive naturals, for example, 2744 + ... + 2856.

2316400 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 316400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438216).

316400 is an abundant number, since it is smaller than the sum of its proper divisors (560032).

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

316400 is a wasteful number, since it uses less digits than its factorization.

316400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 127 counting only the distinct ones).

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

The square root of 316400 is about 562.4944444170. The cubic root of 316400 is about 68.1415735565.

The spelling of 316400 in words is "three hundred sixteen thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 113 140 175 200 226 280 350 400 452 560 565 700 791 904 1130 1400 1582 1808 2260 2800 2825 3164 3955 4520 5650 6328 7910 9040 11300 12656 15820 19775 22600 31640 39550 45200 63280 79100 158200 316400