Search a number
-
+
695304 = 23342937
BaseRepresentation
bin10101001110000001000
31022022210000
42221300020
5134222204
622523000
75624061
oct2516010
91268700
10695304
11435435
12296460
131b462c
14141568
15db039
hexa9c08

695304 has 80 divisors (see below), whose sum is σ = 2069100. Its totient is φ = 217728.

The previous prime is 695297. The next prime is 695309. The reversal of 695304 is 403596.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 656100 + 39204 = 810^2 + 198^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 695304.

It is not an unprimeable number, because it can be changed into a prime (695309) by changing a digit.

695304 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18774 + ... + 18810.

2695304 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 695304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034550).

695304 is an abundant number, since it is smaller than the sum of its proper divisors (1373796).

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

695304 is a wasteful number, since it uses less digits than its factorization.

695304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 695304 is about 833.8489071768. The cubic root of 695304 is about 88.5914022641.

695304 divided by its sum of digits (27) gives a palindrome (25752).

It can be divided in two parts, 695 and 304, that added together give a palindrome (999).

The spelling of 695304 in words is "six hundred ninety-five thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 37 54 58 72 74 81 87 108 111 116 148 162 174 216 222 232 261 296 324 333 348 444 522 648 666 696 783 888 999 1044 1073 1332 1566 1998 2088 2146 2349 2664 2997 3132 3219 3996 4292 4698 5994 6264 6438 7992 8584 9396 9657 11988 12876 18792 19314 23976 25752 28971 38628 57942 77256 86913 115884 173826 231768 347652 695304