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3241241440 = 255371095023
BaseRepresentation
bin1100000100110001…
…0110101101100000
322100212222010101021
43001030112231200
523114224211230
61253343015224
7143215045333
oct30114265540
98325863337
103241241440
111413661738
1276559a514
133c867b458
1422a68261a
1513e847c7a
hexc1316b60

3241241440 has 96 divisors (see below), whose sum is σ = 7938120960. Its totient is φ = 1249634304.

The previous prime is 3241241417. The next prime is 3241241453. The reversal of 3241241440 is 441421423.

It is a super-3 number, since 3×32412414403 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 642769 + ... + 647791.

It is an arithmetic number, because the mean of its divisors is an integer number (82688760).

Almost surely, 23241241440 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 3241241440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3969060480).

3241241440 is an abundant number, since it is smaller than the sum of its proper divisors (4696879520).

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

3241241440 is a wasteful number, since it uses less digits than its factorization.

3241241440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5184 (or 5176 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 3241241440 is about 56931.9017774745. The cubic root of 3241241440 is about 1479.9162114727.

Adding to 3241241440 its reverse (441421423), we get a palindrome (3682662863).

The spelling of 3241241440 in words is "three billion, two hundred forty-one million, two hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 109 148 160 185 218 296 370 436 545 592 740 872 1090 1184 1480 1744 2180 2960 3488 4033 4360 5023 5920 8066 8720 10046 16132 17440 20092 20165 25115 32264 40184 40330 50230 64528 80368 80660 100460 129056 160736 161320 185851 200920 322640 371702 401840 547507 645280 743404 803680 929255 1095014 1486808 1858510 2190028 2737535 2973616 3717020 4380056 5475070 5947232 7434040 8760112 10950140 14868080 17520224 20257759 21900280 29736160 40515518 43800560 81031036 87601120 101288795 162062072 202577590 324124144 405155180 648248288 810310360 1620620720 3241241440