Search a number
-
+
364023 = 32113677
BaseRepresentation
bin1011000110111110111
3200111100100
41120313313
543122043
611445143
73044202
oct1306767
9614310
10364023
11229550
121567b3
13c98ca
1496939
1572cd3
hex58df7

364023 has 12 divisors (see below), whose sum is σ = 573768. Its totient is φ = 220560.

The previous prime is 363989. The next prime is 364027. The reversal of 364023 is 320463.

364023 is a `hidden beast` number, since 3 + 640 + 23 = 666.

It is not a de Polignac number, because 364023 - 26 = 363959 is a prime.

364023 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 363987 and 364005.

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 364023.

It is not an unprimeable number, because it can be changed into a prime (364027) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1740 + ... + 1937.

It is an arithmetic number, because the mean of its divisors is an integer number (47814).

2364023 is an apocalyptic number.

364023 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

364023 is a deficient number, since it is larger than the sum of its proper divisors (209745).

364023 is a wasteful number, since it uses less digits than its factorization.

364023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3694 (or 3691 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 364023 is about 603.3431859232. The cubic root of 364023 is about 71.4018736415.

Adding to 364023 its reverse (320463), we get a palindrome (684486).

It can be divided in two parts, 3640 and 23, that added together give a palindrome (3663).

The spelling of 364023 in words is "three hundred sixty-four thousand, twenty-three".

Divisors: 1 3 9 11 33 99 3677 11031 33093 40447 121341 364023