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240032340 = 2232511311801
BaseRepresentation
bin11100100111010…
…01101001010100
3121201122220110200
432103221221110
5442422013330
635452420500
75643145512
oct1623515124
9551586420
10240032340
11113545939
1268477730
133a962792
1423c434b2
1516115a60
hexe4e9a54

240032340 has 72 divisors (see below), whose sum is σ = 734603688. Its totient is φ = 63436800.

The previous prime is 240032329. The next prime is 240032341. The reversal of 240032340 is 43230042.

240032340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 30276 + 240002064 = 174^2 + 15492^2 .

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 (240032341) 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, 14440 + ... + 26240.

It is an arithmetic number, because the mean of its divisors is an integer number (10202829).

Almost surely, 2240032340 is an apocalyptic number.

240032340 is a gapful number since it is divisible by the number (20) 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 240032340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367301844).

240032340 is an abundant number, since it is smaller than the sum of its proper divisors (494571348).

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

240032340 is a wasteful number, since it uses less digits than its factorization.

240032340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11929 (or 11924 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 240032340 is about 15492.9771186819. The cubic root of 240032340 is about 621.4744132424.

Adding to 240032340 its reverse (43230042), we get a palindrome (283262382).

The spelling of 240032340 in words is "two hundred forty million, thirty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 113 180 226 339 452 565 678 1017 1130 1356 1695 2034 2260 3390 4068 5085 6780 10170 11801 20340 23602 35403 47204 59005 70806 106209 118010 141612 177015 212418 236020 354030 424836 531045 708060 1062090 1333513 2124180 2667026 4000539 5334052 6667565 8001078 12001617 13335130 16002156 20002695 24003234 26670260 40005390 48006468 60008085 80010780 120016170 240032340