Search a number
-
+
367068 = 223132181
BaseRepresentation
bin1011001100111011100
3200122112010
41121213130
543221233
611511220
73056112
oct1314734
9618463
10367068
11230869
12158510
13cb100
1497ab2
1573b63
hex599dc

367068 has 36 divisors (see below), whose sum is σ = 932568. Its totient is φ = 112320.

The previous prime is 367049. The next prime is 367069. The reversal of 367068 is 860763.

367068 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 13.

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 367068.

It is not an unprimeable number, because it can be changed into a prime (367069) by changing a digit.

367068 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 (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1938 + ... + 2118.

2367068 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 367068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466284).

367068 is an abundant number, since it is smaller than the sum of its proper divisors (565500).

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

367068 is a wasteful number, since it uses less digits than its factorization.

367068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 367068 is about 605.8613702820. The cubic root of 367068 is about 71.6004098891.

The spelling of 367068 in words is "three hundred sixty-seven thousand, sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 181 338 362 507 543 676 724 1014 1086 2028 2172 2353 4706 7059 9412 14118 28236 30589 61178 91767 122356 183534 367068