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241400040 = 23357893229
BaseRepresentation
bin11100110001101…
…11100011101000
3121211020101121020
432120313203220
5443244300130
635542012440
75660603130
oct1630674350
9554211536
10241400040
1111429a472
1268a17120
133b02117b
14240bbac0
15162d5e10
hexe6378e8

241400040 has 128 divisors (see below), whose sum is σ = 837216000. Its totient is φ = 54540288.

The previous prime is 241400021. The next prime is 241400077. The reversal of 241400040 is 40004142.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 241399992 and 241400019.

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, 73146 + ... + 76374.

It is an arithmetic number, because the mean of its divisors is an integer number (6540750).

Almost surely, 2241400040 is an apocalyptic number.

241400040 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 241400040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418608000).

241400040 is an abundant number, since it is smaller than the sum of its proper divisors (595815960).

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

241400040 is a wasteful number, since it uses less digits than its factorization.

241400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3339 (or 3335 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 241400040 is about 15537.0537747670. The cubic root of 241400040 is about 622.6525617589.

Adding to 241400040 its reverse (40004142), we get a palindrome (281404182).

The spelling of 241400040 in words is "two hundred forty-one million, four hundred thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 89 105 120 140 168 178 210 267 280 356 420 445 534 623 712 840 890 1068 1246 1335 1780 1869 2136 2492 2670 3115 3229 3560 3738 4984 5340 6230 6458 7476 9345 9687 10680 12460 12916 14952 16145 18690 19374 22603 24920 25832 32290 37380 38748 45206 48435 64580 67809 74760 77496 90412 96870 113015 129160 135618 180824 193740 226030 271236 287381 339045 387480 452060 542472 574762 678090 862143 904120 1149524 1356180 1436905 1724286 2011667 2299048 2712360 2873810 3448572 4023334 4310715 5747620 6035001 6897144 8046668 8621430 10058335 11495240 12070002 16093336 17242860 20116670 24140004 30175005 34485720 40233340 48280008 60350010 80466680 120700020 241400040