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316404 = 2232111747
BaseRepresentation
bin1001101001111110100
3121002000200
41031033310
540111104
610440500
72455314
oct1151764
9532020
10316404
111a67a0
12133130
13b102a
1483444
1563b39
hex4d3f4

316404 has 72 divisors (see below), whose sum is σ = 943488. Its totient is φ = 88320.

The previous prime is 316403. The next prime is 316423. The reversal of 316404 is 404613.

316404 is nontrivially palindromic in base 5.

It is a super-2 number, since 2×3164042 = 200222982432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 316404.

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

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6709 + ... + 6755.

It is an arithmetic number, because the mean of its divisors is an integer number (13104).

2316404 is an apocalyptic number.

316404 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 316404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471744).

316404 is an abundant number, since it is smaller than the sum of its proper divisors (627084).

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

316404 is a wasteful number, since it uses less digits than its factorization.

316404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 316404 is about 562.4979999964. The cubic root of 316404 is about 68.1418607090.

316404 divided by its sum of digits (18) gives a triangular number (17578 = T187).

Subtracting 316404 from its reverse (404613), we obtain a square (88209 = 2972).

The spelling of 316404 in words is "three hundred sixteen thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 47 51 66 68 94 99 102 132 141 153 187 188 198 204 282 306 374 396 423 517 561 564 612 748 799 846 1034 1122 1551 1598 1683 1692 2068 2244 2397 3102 3196 3366 4653 4794 6204 6732 7191 8789 9306 9588 14382 17578 18612 26367 28764 35156 52734 79101 105468 158202 316404