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241427340 = 2232571117419
BaseRepresentation
bin11100110001111…
…10001110001100
3121211021210001100
432120332032030
5443301133330
635542343100
75661045540
oct1630761614
9554253040
10241427340
11114308a30
1268a2aa90
133b03071b
14240c7a20
15162de060
hexe63e38c

241427340 has 144 divisors (see below), whose sum is σ = 913086720. Its totient is φ = 50163840.

The previous prime is 241427323. The next prime is 241427341. The reversal of 241427340 is 43724142.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (241427341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5151 + ... + 22569.

It is an arithmetic number, because the mean of its divisors is an integer number (6340880).

Almost surely, 2241427340 is an apocalyptic number.

241427340 is a gapful number since it is divisible by the number (20) 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 241427340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456543360).

241427340 is an abundant number, since it is smaller than the sum of its proper divisors (671659380).

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

241427340 is a wasteful number, since it uses less digits than its factorization.

241427340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17452 (or 17447 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 241427340 is about 15537.9322948712. The cubic root of 241427340 is about 622.6760328599.

The spelling of 241427340 in words is "two hundred forty-one million, four hundred twenty-seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 198 210 220 231 252 308 315 330 385 396 420 462 495 630 660 693 770 924 990 1155 1260 1386 1540 1980 2310 2772 3465 4620 6930 13860 17419 34838 52257 69676 87095 104514 121933 156771 174190 191609 209028 243866 261285 313542 348380 365799 383218 487732 522570 574827 609665 627084 731598 766436 783855 958045 1045140 1097397 1149654 1219330 1341263 1463196 1567710 1724481 1828995 1916090 2194794 2299308 2438660 2682526 2874135 3135420 3448962 3657990 3832180 4023789 4389588 5365052 5486985 5748270 6706315 6897924 7315980 8047578 8622405 10973970 11496540 12071367 13412630 16095156 17244810 20118945 21947940 24142734 26825260 34489620 40237890 48285468 60356835 80475780 120713670 241427340