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3241012440 = 233567491821
BaseRepresentation
bin1100000100101101…
…1110110011011000
322100212112111020210
43001023132303120
523114144344230
61253334051120
7143213102601
oct30113366330
98325474223
103241012440
111413515686
127654a9aa0
133c85cb153
1422a622da8
1513e7eeeb0
hexc12decd8

3241012440 has 128 divisors (see below), whose sum is σ = 9900299520. Its totient is φ = 848601600.

The previous prime is 3241012427. The next prime is 3241012451. The reversal of 3241012440 is 442101423.

3241012440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3947230 + ... + 3948050.

It is an arithmetic number, because the mean of its divisors is an integer number (77346090).

Almost surely, 23241012440 is an apocalyptic number.

3241012440 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 3241012440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4950149760).

3241012440 is an abundant number, since it is smaller than the sum of its proper divisors (6659287080).

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

3241012440 is a wasteful number, since it uses less digits than its factorization.

3241012440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 3241012440 is about 56929.8905672583. The cubic root of 3241012440 is about 1479.8813576674.

Adding to 3241012440 its reverse (442101423), we get a palindrome (3683113863).

It can be divided in two parts, 32410 and 12440, that added together give a triangular number (44850 = T299).

The spelling of 3241012440 in words is "three billion, two hundred forty-one million, twelve thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 120 134 201 268 335 402 491 536 670 804 821 982 1005 1340 1473 1608 1642 1964 2010 2455 2463 2680 2946 3284 3928 4020 4105 4910 4926 5892 6568 7365 8040 8210 9820 9852 11784 12315 14730 16420 19640 19704 24630 29460 32840 32897 49260 55007 58920 65794 98520 98691 110014 131588 164485 165021 197382 220028 263176 275035 328970 330042 394764 403111 440056 493455 550070 657940 660084 789528 806222 825105 986910 1100140 1209333 1315880 1320168 1612444 1650210 1973820 2015555 2200280 2418666 3224888 3300420 3947640 4031110 4837332 6046665 6600840 8062220 9674664 12093330 16124440 24186660 27008437 48373320 54016874 81025311 108033748 135042185 162050622 216067496 270084370 324101244 405126555 540168740 648202488 810253110 1080337480 1620506220 3241012440