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411003320 = 235713112913
BaseRepresentation
bin11000011111110…
…110100110111000
31001122101010120012
4120133312212320
51320204101240
6104441121052
713120320260
oct3037664670
91048333505
10411003320
111a1000972
12b5789188
13671c4a40
143c82a7a0
1526138b65
hex187f69b8

411003320 has 64 divisors (see below), whose sum is σ = 1138173120. Its totient is φ = 130074624.

The previous prime is 411003319. The next prime is 411003323. The reversal of 411003320 is 23300114.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 411003295 and 411003304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411003323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52817 + ... + 60096.

It is an arithmetic number, because the mean of its divisors is an integer number (17783955).

Almost surely, 2411003320 is an apocalyptic number.

411003320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

411003320 is an abundant number, since it is smaller than the sum of its proper divisors (727169800).

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

411003320 is a wasteful number, since it uses less digits than its factorization.

411003320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112944 (or 112940 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 411003320 is about 20273.2168143095. The cubic root of 411003320 is about 743.5013761172.

Adding to 411003320 its reverse (23300114), we get a palindrome (434303434).

The spelling of 411003320 in words is "four hundred eleven million, three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1820 3640 112913 225826 451652 564565 790391 903304 1129130 1467869 1580782 2258260 2935738 3161564 3951955 4516520 5871476 6323128 7339345 7903910 10275083 11742952 14678690 15807820 20550166 29357380 31615640 41100332 51375415 58714760 82200664 102750830 205501660 411003320