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3241242312 = 23371110916091
BaseRepresentation
bin1100000100110001…
…0110111011001000
322100212222011120120
43001030112323020
523114224223222
61253343023240
7143215051020
oct30114267310
98325864516
103241242312
111413662360
1276559ab20
133c867b979
1422a682a80
1513e84815c
hexc1316ec8

3241242312 has 128 divisors (see below), whose sum is σ = 10195891200. Its totient is φ = 834105600.

The previous prime is 3241242307. The next prime is 3241242313. The reversal of 3241242312 is 2132421423.

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 (3241242313) 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, 193387 + ... + 209477.

It is an arithmetic number, because the mean of its divisors is an integer number (79655400).

Almost surely, 23241242312 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 3241242312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5097945600).

3241242312 is an abundant number, since it is smaller than the sum of its proper divisors (6954648888).

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

3241242312 is a wasteful number, since it uses less digits than its factorization.

3241242312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16227 (or 16223 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 3241242312 is about 56931.9094357461. The cubic root of 3241242312 is about 1479.9163441880.

Adding to 3241242312 its reverse (2132421423), we get a palindrome (5373663735).

The spelling of 3241242312 in words is "three billion, two hundred forty-one million, two hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 109 132 154 168 218 231 264 308 327 436 462 616 654 763 872 924 1199 1308 1526 1848 2289 2398 2616 3052 3597 4578 4796 6104 7194 8393 9156 9592 14388 16091 16786 18312 25179 28776 32182 33572 48273 50358 64364 67144 96546 100716 112637 128728 177001 193092 201432 225274 337911 354002 386184 450548 531003 675822 708004 901096 1062006 1239007 1351644 1416008 1753919 2124012 2478014 2703288 3507838 3717021 4248024 4956028 5261757 7015676 7434042 9912056 10523514 12277433 14031352 14868084 19293109 21047028 24554866 29736168 36832299 38586218 42094056 49109732 57879327 73664598 77172436 98219464 115758654 135051763 147329196 154344872 231517308 270103526 294658392 405155289 463034616 540207052 810310578 1080414104 1620621156 3241242312