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411330420 = 223356711369
BaseRepresentation
bin11000100001000…
…110011101110100
31001122222202021000
4120201012131310
51320300033140
6104452123300
713123152024
oct3041063564
91048882230
10411330420
111a12046a6
12b5906530
13672aa8a7
143c8b3a84
15261a0a30
hex18846774

411330420 has 96 divisors (see below), whose sum is σ = 1298908800. Its totient is φ = 108041472.

The previous prime is 411330407. The next prime is 411330421. The reversal of 411330420 is 24033114.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 411330393 and 411330402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411330421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30496 + ... + 41864.

It is an arithmetic number, because the mean of its divisors is an integer number (13530300).

Almost surely, 2411330420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411330420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649454400).

411330420 is an abundant number, since it is smaller than the sum of its proper divisors (887578380).

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

411330420 is a wasteful number, since it uses less digits than its factorization.

411330420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11454 (or 11446 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 411330420 is about 20281.2825038260. The cubic root of 411330420 is about 743.6985641523.

Adding to 411330420 its reverse (24033114), we get a palindrome (435363534).

The spelling of 411330420 in words is "four hundred eleven million, three hundred thirty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 67 90 108 134 135 180 201 268 270 335 402 540 603 670 804 1005 1206 1340 1809 2010 2412 3015 3618 4020 6030 7236 9045 11369 12060 18090 22738 34107 36180 45476 56845 68214 102321 113690 136428 170535 204642 227380 306963 341070 409284 511605 613926 682140 761723 1023210 1227852 1523446 1534815 2046420 2285169 3046892 3069630 3808615 4570338 6139260 6855507 7617230 9140676 11425845 13711014 15234460 20566521 22851690 27422028 34277535 41133042 45703380 68555070 82266084 102832605 137110140 205665210 411330420