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316448 = 25112931
BaseRepresentation
bin1001101010000100000
3121002002022
41031100200
540111243
610441012
72455406
oct1152040
9532068
10316448
111a6830
12133168
13b1062
1483476
1563b68
hex4d420

316448 has 48 divisors (see below), whose sum is σ = 725760. Its totient is φ = 134400.

The previous prime is 316439. The next prime is 316453. The reversal of 316448 is 844613.

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 316448.

It is an unprimeable number.

316448 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, 10193 + ... + 10223.

It is an arithmetic number, because the mean of its divisors is an integer number (15120).

2316448 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 316448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362880).

316448 is an abundant number, since it is smaller than the sum of its proper divisors (409312).

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

316448 is a wasteful number, since it uses less digits than its factorization.

316448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 73 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

The square root of 316448 is about 562.5371098870. The cubic root of 316448 is about 68.1450192267.

The spelling of 316448 in words is "three hundred sixteen thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 29 31 32 44 58 62 88 116 124 176 232 248 319 341 352 464 496 638 682 899 928 992 1276 1364 1798 2552 2728 3596 5104 5456 7192 9889 10208 10912 14384 19778 28768 39556 79112 158224 316448