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3241143312 = 2431147131997
BaseRepresentation
bin1100000100101111…
…1110110000010000
322100212210010202220
43001023332300100
523114213041222
61253340541040
7143214156261
oct30113766020
98325703686
103241143312
1114135a4a40
12765551780
133c86458a4
1422a658968
1513e828b5c
hexc12fec10

3241143312 has 160 divisors (see below), whose sum is σ = 9409112064. Its totient is φ = 952972800.

The previous prime is 3241143307. The next prime is 3241143319. The reversal of 3241143312 is 2133411423.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3241143319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3250398 + ... + 3251394.

Almost surely, 23241143312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3241143312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4704556032).

3241143312 is an abundant number, since it is smaller than the sum of its proper divisors (6167968752).

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

3241143312 is a wasteful number, since it uses less digits than its factorization.

3241143312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197 (or 1191 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 3241143312 is about 56931.0399694227. The cubic root of 3241143312 is about 1479.9012765899.

Adding to 3241143312 its reverse (2133411423), we get a palindrome (5374554735).

The spelling of 3241143312 in words is "three billion, two hundred forty-one million, one hundred forty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 47 48 66 88 94 131 132 141 176 188 262 264 282 376 393 517 524 528 564 752 786 997 1034 1048 1128 1441 1551 1572 1994 2068 2096 2256 2882 2991 3102 3144 3988 4136 4323 5764 5982 6157 6204 6288 7976 8272 8646 10967 11528 11964 12314 12408 15952 17292 18471 21934 23056 23928 24628 24816 32901 34584 36942 43868 46859 47856 49256 65802 67727 69168 73884 87736 93718 98512 130607 131604 135454 140577 147768 175472 187436 203181 261214 263208 270908 281154 295536 374872 391821 406362 515449 522428 526416 541816 562308 749744 783642 812724 1030898 1044856 1083632 1124616 1436677 1546347 1567284 1625448 2061796 2089712 2249232 2873354 3092694 3134568 3250896 4123592 4310031 5746708 6138529 6185388 6269136 8247184 8620062 11493416 12277058 12370776 17240124 18415587 22986832 24554116 24741552 34480248 36831174 49108232 67523819 68960496 73662348 98216464 135047638 147324696 202571457 270095276 294649392 405142914 540190552 810285828 1080381104 1620571656 3241143312