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3243003240 = 2335414315329
BaseRepresentation
bin1100000101001100…
…0100110101101000
322101000021122010010
43001103010311220
523120202100430
61253444451520
7143236033641
oct30123046550
98330248103
103243003240
111414655374
127660a9ba0
133c8b47339
1422a9c06c8
1513ea94cb0
hexc14c4d68

3243003240 has 128 divisors (see below), whose sum is σ = 10198742400. Its totient is φ = 824033280.

The previous prime is 3243003223. The next prime is 3243003241. The reversal of 3243003240 is 423003423.

It is not an unprimeable number, because it can be changed into a prime (3243003241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203896 + ... + 219224.

It is an arithmetic number, because the mean of its divisors is an integer number (79677675).

Almost surely, 23243003240 is an apocalyptic number.

3243003240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3243003240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5099371200).

3243003240 is an abundant number, since it is smaller than the sum of its proper divisors (6955739160).

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

3243003240 is a wasteful number, since it uses less digits than its factorization.

3243003240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15427 (or 15423 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 3243003240 is about 56947.3725469402. The cubic root of 3243003240 is about 1480.1843025898.

Adding to 3243003240 its reverse (423003423), we get a palindrome (3666006663).

The spelling of 3243003240 in words is "three billion, two hundred forty-three million, three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 43 60 82 86 120 123 129 164 172 205 215 246 258 328 344 410 430 492 516 615 645 820 860 984 1032 1230 1290 1640 1720 1763 2460 2580 3526 4920 5160 5289 7052 8815 10578 14104 15329 17630 21156 26445 30658 35260 42312 45987 52890 61316 70520 76645 91974 105780 122632 153290 183948 211560 229935 306580 367896 459870 613160 628489 659147 919740 1256978 1318294 1839480 1885467 1977441 2513956 2636588 3142445 3295735 3770934 3954882 5027912 5273176 6284890 6591470 7541868 7909764 9427335 9887205 12569780 13182940 15083736 15819528 18854670 19774410 25139560 26365880 27025027 37709340 39548820 54050054 75418680 79097640 81075081 108100108 135125135 162150162 216200216 270250270 324300324 405375405 540500540 648600648 810750810 1081001080 1621501620 3243003240