Search a number
-
+
3241036656 = 24321113157393
BaseRepresentation
bin1100000100101110…
…0100101101110000
322100212120201110200
43001023210231300
523114201133111
61253334355200
7143213233314
oct30113445560
98325521420
103241036656
1114135318a0
127654bbb00
133c8609190
1422a62bb44
1513e807256
hexc12e4b70

3241036656 has 120 divisors (see below), whose sum is σ = 10656203376. Its totient is φ = 906577920.

The previous prime is 3241036637. The next prime is 3241036657. The reversal of 3241036656 is 6566301423.

3241036656 is a `hidden beast` number, since 3 + 241 + 0 + 366 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3241036656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3241036657) 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, 58105 + ... + 99288.

Almost surely, 23241036656 is an apocalyptic number.

3241036656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3241036656 is an abundant number, since it is smaller than the sum of its proper divisors (7415166720).

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

3241036656 is a wasteful number, since it uses less digits than its factorization.

3241036656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157431 (or 157422 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 3241036656 is about 56930.1032495111. The cubic root of 3241036656 is about 1479.8850434208.

The spelling of 3241036656 in words is "three billion, two hundred forty-one million, thirty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 33 36 39 44 48 52 66 72 78 88 99 104 117 132 143 144 156 176 198 208 234 264 286 312 396 429 468 528 572 624 792 858 936 1144 1287 1584 1716 1872 2288 2574 3432 5148 6864 10296 20592 157393 314786 472179 629572 944358 1259144 1416537 1731323 1888716 2046109 2518288 2833074 3462646 3777432 4092218 5193969 5666148 6138327 6925292 7554864 8184436 10387938 11332296 12276654 13850584 15581907 16368872 18414981 20775876 22507199 22664592 24553308 27701168 31163814 32737744 36829962 41551752 45014398 49106616 62327628 67521597 73659924 83103504 90028796 98213232 124655256 135043194 147319848 180057592 202564791 249310512 270086388 294639696 360115184 405129582 540172776 810259164 1080345552 1620518328 3241036656