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411340240 = 24531473529
BaseRepresentation
bin11000100001001…
…000110111010000
31001200000020201201
4120201020313100
51320300341430
6104452240544
713123222453
oct3041106720
91050006651
10411340240
111a1211013
12b5910154
13672b21bc
143c8b749a
15261a38ca
hex18848dd0

411340240 has 80 divisors (see below), whose sum is σ = 1008506880. Its totient is φ = 155796480.

The previous prime is 411340231. The next prime is 411340283. The reversal of 411340240 is 42043114.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114796 + ... + 118324.

It is an arithmetic number, because the mean of its divisors is an integer number (12606336).

Almost surely, 2411340240 is an apocalyptic number.

411340240 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 411340240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504253440).

411340240 is an abundant number, since it is smaller than the sum of its proper divisors (597166640).

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

411340240 is a wasteful number, since it uses less digits than its factorization.

411340240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3620 (or 3614 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 411340240 is about 20281.5245975247. The cubic root of 411340240 is about 743.7044823967.

Adding to 411340240 its reverse (42043114), we get a palindrome (453383354).

The spelling of 411340240 in words is "four hundred eleven million, three hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 47 62 80 94 124 155 188 235 248 310 376 470 496 620 752 940 1240 1457 1880 2480 2914 3529 3760 5828 7058 7285 11656 14116 14570 17645 23312 28232 29140 35290 56464 58280 70580 109399 116560 141160 165863 218798 282320 331726 437596 546995 663452 829315 875192 1093990 1326904 1658630 1750384 2187980 2653808 3317260 4375960 5141753 6634520 8751920 10283506 13269040 20567012 25708765 41134024 51417530 82268048 102835060 205670120 411340240