Search a number
-
+
411213330 = 2325112914323
BaseRepresentation
bin11000100000101…
…001111000010010
31001122202210122100
4120200221320102
51320232311310
6104445421230
713122153453
oct3040517022
91048683570
10411213330
111a1134730
12b586a816
13672694c8
143c88312a
152617aec0
hex18829e12

411213330 has 96 divisors (see below), whose sum is σ = 1206653760. Its totient is φ = 96243840.

The previous prime is 411213311. The next prime is 411213337. The reversal of 411213330 is 33312114.

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

It is not an unprimeable number, because it can be changed into a prime (411213337) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 21549 + ... + 35871.

It is an arithmetic number, because the mean of its divisors is an integer number (12569310).

Almost surely, 2411213330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411213330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603326880).

411213330 is an abundant number, since it is smaller than the sum of its proper divisors (795440430).

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

411213330 is a wasteful number, since it uses less digits than its factorization.

411213330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14376 (or 14373 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 411213330 is about 20278.3956465989. The cubic root of 411213330 is about 743.6279899662.

Adding to 411213330 its reverse (33312114), we get a palindrome (444525444).

The spelling of 411213330 in words is "four hundred eleven million, two hundred thirteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 29 30 33 45 55 58 66 87 90 99 110 145 165 174 198 261 290 319 330 435 495 522 638 870 957 990 1305 1595 1914 2610 2871 3190 4785 5742 9570 14323 14355 28646 28710 42969 71615 85938 128907 143230 157553 214845 257814 315106 415367 429690 472659 644535 787765 830734 945318 1246101 1289070 1417977 1575530 2076835 2363295 2492202 2835954 3738303 4153670 4569037 4726590 6230505 7089885 7476606 9138074 12461010 13707111 14179770 18691515 22845185 27414222 37383030 41121333 45690370 68535555 82242666 137071110 205606665 411213330