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3240405441 = 32713103107359
BaseRepresentation
bin1100000100100100…
…1010100111000001
322100211101122121100
43001021022213001
523114020433231
61253313045013
7143204664120
oct30111124701
98324348540
103240405441
111413140629
12765256769
133c8447a90
1422a505ab7
1513e7301e6
hexc124a9c1

3240405441 has 96 divisors (see below), whose sum is σ = 5887365120. Its totient is φ = 1672140672.

The previous prime is 3240405437. The next prime is 3240405457. The reversal of 3240405441 is 1445040423.

It is a happy number.

It is not a de Polignac number, because 3240405441 - 22 = 3240405437 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3240405431) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9026020 + ... + 9026378.

It is an arithmetic number, because the mean of its divisors is an integer number (61326720).

Almost surely, 23240405441 is an apocalyptic number.

It is an amenable number.

3240405441 is a deficient number, since it is larger than the sum of its proper divisors (2646959679).

3240405441 is a wasteful number, since it uses less digits than its factorization.

3240405441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 3240405441 is about 56924.5592077796. The cubic root of 3240405441 is about 1479.7889644615.

Adding to 3240405441 its reverse (1445040423), we get a palindrome (4685445864).

The spelling of 3240405441 in words is "three billion, two hundred forty million, four hundred five thousand, four hundred forty-one".

Divisors: 1 3 7 9 13 21 39 63 91 103 107 117 273 309 321 359 721 749 819 927 963 1077 1339 1391 2163 2247 2513 3231 4017 4173 4667 6489 6741 7539 9373 9737 11021 12051 12519 14001 22617 28119 29211 32669 33063 36977 38413 42003 77147 84357 87633 98007 99189 110931 115239 143273 231441 258839 268891 294021 332793 345717 429819 480701 499369 694323 776517 806673 1002911 1289457 1442103 1498107 2329551 2420019 3008733 3364907 3495583 3956539 4326309 4494321 9026199 10094721 10486749 11869617 27695773 30284163 31460247 35608851 51435007 83087319 154305021 249261957 360045049 462915063 1080135147 3240405441