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315084 = 223711231
BaseRepresentation
bin1001100111011001100
3121000012210
41030323030
540040314
610430420
72451420
oct1147314
9530183
10315084
111a5800
12132410
13b0553
1482b80
1563559
hex4cecc

315084 has 72 divisors (see below), whose sum is σ = 953344. Its totient is φ = 79200.

The previous prime is 315083. The next prime is 315097. The reversal of 315084 is 480513.

Adding to 315084 its reverse (480513), we get a palindrome (795597).

It can be divided in two parts, 31 and 5084, that added together give a palindrome (5115).

315084 = T97 + T98 + ... + T140.

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

It is a self number, because there is not a number n which added to its sum of digits gives 315084.

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 315084.

It is not an unprimeable number, because it can be changed into a prime (315083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10149 + ... + 10179.

315084 is a Friedman number, since it can be written as 308*(4^5-1), using all its digits and the basic arithmetic operations.

2315084 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 315084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476672).

315084 is an abundant number, since it is smaller than the sum of its proper divisors (638260).

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

315084 is a wasteful number, since it uses less digits than its factorization.

315084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 315084 is about 561.3234361756. The cubic root of 315084 is about 68.0469687039.

The spelling of 315084 in words is "three hundred fifteen thousand, eighty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 31 33 42 44 62 66 77 84 93 121 124 132 154 186 217 231 242 308 341 363 372 434 462 484 651 682 726 847 868 924 1023 1302 1364 1452 1694 2046 2387 2541 2604 3388 3751 4092 4774 5082 7161 7502 9548 10164 11253 14322 15004 22506 26257 28644 45012 52514 78771 105028 157542 315084