Search a number
-
+
339300000 = 2532551329
BaseRepresentation
bin10100001110010…
…100111010100000
3212122110020002200
4110032110322200
51143330100000
653400213200
711260000554
oct2416247240
9778406080
10339300000
11164587126
129576a200
13553aab40
14330c3864
151ebc3500
hex14394ea0

339300000 has 432 divisors, whose sum is σ = 1343585880. Its totient is φ = 80640000.

The previous prime is 339299977. The next prime is 339300001. The reversal of 339300000 is 3933.

It can be written as a sum of positive squares in 12 ways, for example, as 218211984 + 121088016 = 14772^2 + 11004^2 .

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (339300001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11699986 + ... + 11700014.

Almost surely, 2339300000 is an apocalyptic number.

339300000 is a gapful number since it is divisible by the number (30) 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 339300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671792940).

339300000 is an abundant number, since it is smaller than the sum of its proper divisors (1004285880).

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

339300000 is a wasteful number, since it uses less digits than its factorization.

339300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

The square root of 339300000 is about 18420.0977196105. The cubic root of 339300000 is about 697.4738881041.

Adding to 339300000 its reverse (3933), we get a palindrome (339303933).

The spelling of 339300000 in words is "three hundred thirty-nine million, three hundred thousand".