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6434044340 = 2251537720921
BaseRepresentation
bin1011111110111111…
…11011100110110100
3121121101210022120112
411333133323212310
5101134103404330
62542235522152
7315304321523
oct57737734664
917541708515
106434044340
112801939819
1212b68b9358
137b6c9a139
144507164ba
15279cc3795
hex17f7fb9b4

6434044340 has 24 divisors (see below), whose sum is σ = 13513017672. Its totient is φ = 2573327360.

The previous prime is 6434044301. The next prime is 6434044343. The reversal of 6434044340 is 434404346.

It can be written as a sum of positive squares in 4 ways, for example, as 3432319396 + 3001724944 = 58586^2 + 54788^2 .

It is a junction number, because it is equal to n+sod(n) for n = 6434044297 and 6434044306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6434044343) 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, 297080 + ... + 318000.

It is an arithmetic number, because the mean of its divisors is an integer number (563042403).

Almost surely, 26434044340 is an apocalyptic number.

It is an amenable number.

6434044340 is an abundant number, since it is smaller than the sum of its proper divisors (7078973332).

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

6434044340 is a wasteful number, since it uses less digits than its factorization.

6434044340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36307 (or 36305 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

The square root of 6434044340 is about 80212.4949119525. The cubic root of 6434044340 is about 1859.9217930658.

Adding to 6434044340 its reverse (434404346), we get a palindrome (6868448686).

The spelling of 6434044340 in words is "six billion, four hundred thirty-four million, forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 15377 20921 30754 41842 61508 76885 83684 104605 153770 209210 307540 418420 321702217 643404434 1286808868 1608511085 3217022170 6434044340