Search a number
-
+
10340240 = 245294457
BaseRepresentation
bin100111011100…
…011110010000
3201110100010212
4213130132100
510121341430
61005343252
7153614321
oct47343620
921410125
1010340240
115922859
123567b28
1321b06b1
141532448
15d93b95
hex9dc790

10340240 has 40 divisors (see below), whose sum is σ = 24875640. Its totient is φ = 3992576.

The previous prime is 10340221. The next prime is 10340243. The reversal of 10340240 is 4204301.

10340240 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 1860496 + 8479744 = 1364^2 + 2912^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (10340243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92 + ... + 4548.

It is an arithmetic number, because the mean of its divisors is an integer number (621891).

Almost surely, 210340240 is an apocalyptic number.

10340240 is a gapful number since it is divisible by the number (10) 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 10340240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12437820).

10340240 is an abundant number, since it is smaller than the sum of its proper divisors (14535400).

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

10340240 is a wasteful number, since it uses less digits than its factorization.

10340240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4499 (or 4493 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 10340240 is about 3215.6243561710. The cubic root of 10340240 is about 217.8596858203.

Adding to 10340240 its reverse (4204301), we get a palindrome (14544541).

The spelling of 10340240 in words is "ten million, three hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 4457 8914 17828 22285 35656 44570 71312 89140 129253 178280 258506 356560 517012 646265 1034024 1292530 2068048 2585060 5170120 10340240