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316407 = 37131961
BaseRepresentation
bin1001101001111110111
3121002000210
41031033313
540111112
610440503
72455320
oct1151767
9532023
10316407
111a67a3
12133133
13b1030
1483447
1563b3c
hex4d3f7

316407 has 32 divisors (see below), whose sum is σ = 555520. Its totient is φ = 155520.

The previous prime is 316403. The next prime is 316423. The reversal of 316407 is 704613.

It is not a de Polignac number, because 316407 - 22 = 316403 is a prime.

It is a super-2 number, since 2×3164072 = 200226779298, which contains 22 as substring.

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

It is the 563-rd Hogben number.

316407 is a lucky number.

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 316407.

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

It is a nontrivial repunit in base 562.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5157 + ... + 5217.

It is an arithmetic number, because the mean of its divisors is an integer number (17360).

2316407 is an apocalyptic number.

316407 is a deficient number, since it is larger than the sum of its proper divisors (239113).

316407 is a wasteful number, since it uses less digits than its factorization.

316407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103.

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 316407 is about 562.5006666663. The cubic root of 316407 is about 68.1420760718.

The spelling of 316407 in words is "three hundred sixteen thousand, four hundred seven".

Divisors: 1 3 7 13 19 21 39 57 61 91 133 183 247 273 399 427 741 793 1159 1281 1729 2379 3477 5187 5551 8113 15067 16653 24339 45201 105469 316407