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3243000024 = 2333113144029
BaseRepresentation
bin1100000101001100…
…0100000011011000
322101000021110201000
43001103010003120
523120202000044
61253444425000
7143236021365
oct30123040330
98330243630
103243000024
111414652a10
127660a8160
133c8b45a34
1422a9bd46c
1513ea93d69
hexc14c40d8

3243000024 has 128 divisors (see below), whose sum is σ = 10144512000. Its totient is φ = 951004800.

The previous prime is 3243000017. The next prime is 3243000031. The reversal of 3243000024 is 4200003423.

It is an interprime number because it is at equal distance from previous prime (3243000017) and next prime (3243000031).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3242999970 and 3243000006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51642 + ... + 95670.

It is an arithmetic number, because the mean of its divisors is an integer number (79254000).

Almost surely, 23243000024 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 3243000024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5072256000).

3243000024 is an abundant number, since it is smaller than the sum of its proper divisors (6901511976).

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

3243000024 is a wasteful number, since it uses less digits than its factorization.

3243000024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44086 (or 44076 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 3243000024 is about 56947.3443103364. The cubic root of 3243000024 is about 1480.1838133032.

Adding to 3243000024 its reverse (4200003423), we get a palindrome (7443003447).

The spelling of 3243000024 in words is "three billion, two hundred forty-three million, twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 31 33 36 44 54 62 66 72 88 93 99 108 124 132 186 198 216 248 264 279 297 341 372 396 558 594 682 744 792 837 1023 1116 1188 1364 1674 2046 2232 2376 2728 3069 3348 4092 6138 6696 8184 9207 12276 18414 24552 36828 44029 73656 88058 132087 176116 264174 352232 396261 484319 528348 792522 968638 1056696 1188783 1364899 1452957 1585044 1937276 2377566 2729798 2905914 3170088 3874552 4094697 4358871 4755132 5459596 5811828 8189394 8717742 9510264 10919192 11623656 12284091 13076613 15013889 16378788 17435484 24568182 26153226 30027778 32757576 34870968 36852273 45041667 49136364 52306452 60055556 73704546 90083334 98272728 104612904 120111112 135125001 147409092 180166668 270250002 294818184 360333336 405375003 540500004 810750006 1081000008 1621500012 3243000024