Search a number
-
+
320436 = 22342343
BaseRepresentation
bin1001110001110110100
3121021120000
41032032310
540223221
610511300
72503134
oct1161664
9537500
10320436
111a9826
12135530
13b2b0c
1484ac4
1564e26
hex4e3b4

320436 has 60 divisors (see below), whose sum is σ = 894432. Its totient is φ = 99792.

The previous prime is 320431. The next prime is 320449. The reversal of 320436 is 634023.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320431) by changing a digit.

320436 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7431 + ... + 7473.

2320436 is an apocalyptic number.

320436 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447216).

320436 is an abundant number, since it is smaller than the sum of its proper divisors (573996).

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

320436 is a wasteful number, since it uses less digits than its factorization.

320436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 71 counting only the distinct ones).

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

The square root of 320436 is about 566.0706669666. The cubic root of 320436 is about 68.4300883323.

Adding to 320436 its reverse (634023), we get a palindrome (954459).

It can be divided in two parts, 3204 and 36, that added together give a triangular number (3240 = T80).

The spelling of 320436 in words is "three hundred twenty thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 43 46 54 69 81 86 92 108 129 138 162 172 207 258 276 324 387 414 516 621 774 828 989 1161 1242 1548 1863 1978 2322 2484 2967 3483 3726 3956 4644 5934 6966 7452 8901 11868 13932 17802 26703 35604 53406 80109 106812 160218 320436