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411242240 = 2851718899
BaseRepresentation
bin11000100000110…
…000111100000000
31001122211021022002
4120200300330000
51320234222430
6104450203132
713122333653
oct3040607400
91048737262
10411242240
111a1154422
12b58834a8
1367279706
143c88d89a
1526184845
hex18830f00

411242240 has 72 divisors (see below), whose sum is σ = 1043053200. Its totient is φ = 154812416.

The previous prime is 411242219. The next prime is 411242269. The reversal of 411242240 is 42242114.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12311 + ... + 31209.

It is an arithmetic number, because the mean of its divisors is an integer number (14486850).

Almost surely, 2411242240 is an apocalyptic number.

411242240 is a gapful number since it is divisible by the number (40) 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 411242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521526600).

411242240 is an abundant number, since it is smaller than the sum of its proper divisors (631810960).

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

411242240 is a wasteful number, since it uses less digits than its factorization.

411242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18937 (or 18923 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 411242240 is about 20279.1084616657. The cubic root of 411242240 is about 743.6454162669.

Adding to 411242240 its reverse (42242114), we get a palindrome (453484354).

The spelling of 411242240 in words is "four hundred eleven million, two hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 544 640 680 1088 1280 1360 2176 2720 4352 5440 10880 18899 21760 37798 75596 94495 151192 188990 302384 321283 377980 604768 642566 755960 1209536 1285132 1511920 1606415 2419072 2570264 3023840 3212830 4838144 5140528 6047680 6425660 10281056 12095360 12851320 20562112 24190720 25702640 41124224 51405280 82248448 102810560 205621120 411242240