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320034 = 231113373
BaseRepresentation
bin1001110001000100010
3121021000010
41032020202
540220114
610505350
72502021
oct1161042
9537003
10320034
111a94a0
12135256
13b2890
14848b8
1564c59
hex4e222

320034 has 32 divisors (see below), whose sum is σ = 753984. Its totient is φ = 89280.

The previous prime is 320027. The next prime is 320039. The reversal of 320034 is 430023.

It is a super-2 number, since 2×3200342 = 204843522312, which contains 22 as substring.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 320034.

It is not an unprimeable number, because it can be changed into a prime (320039) by changing a digit.

320034 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 15 ways as a sum of consecutive naturals, for example, 672 + ... + 1044.

It is an arithmetic number, because the mean of its divisors is an integer number (23562).

2320034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376992).

320034 is an abundant number, since it is smaller than the sum of its proper divisors (433950).

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

320034 is a wasteful number, since it uses less digits than its factorization.

320034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402.

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 320034 is about 565.7154761892. The cubic root of 320034 is about 68.4014602472.

Adding to 320034 its reverse (430023), we get a palindrome (750057).

The spelling of 320034 in words is "three hundred twenty thousand, thirty-four".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 286 373 429 746 858 1119 2238 4103 4849 8206 9698 12309 14547 24618 29094 53339 106678 160017 320034