Search a number
-
+
339311232 = 273213139163
BaseRepresentation
bin10100001110010…
…111101010000000
3212122110210111200
4110032113222000
51143330424412
653400341200
711260045401
oct2416275200
9778423450
10339311232
11164594607
1295774800
13553b2ca0
14330c79a8
151ebc69dc
hex14397a80

339311232 has 192 divisors, whose sum is σ = 1065573600. Its totient is φ = 103016448.

The previous prime is 339311209. The next prime is 339311233. The reversal of 339311232 is 232113933.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×3393112322 = 230264224322715648, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 339311196 and 339311205.

It is not an unprimeable number, because it can be changed into a prime (339311233) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2081583 + ... + 2081745.

Almost surely, 2339311232 is an apocalyptic number.

339311232 is a gapful number since it is divisible by the number (32) 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 339311232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532786800).

339311232 is an abundant number, since it is smaller than the sum of its proper divisors (726262368).

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

339311232 is a wasteful number, since it uses less digits than its factorization.

339311232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 320 counting only the distinct ones).

The product of its digits is 2916, while the sum is 27.

The square root of 339311232 is about 18420.4026014634. The cubic root of 339311232 is about 697.4815842827.

The spelling of 339311232 in words is "three hundred thirty-nine million, three hundred eleven thousand, two hundred thirty-two".