Search a number
-
+
411234304 = 212137723
BaseRepresentation
bin11000100000101…
…111000000000000
31001122210212102011
4120200233000000
51320233444204
6104450102304
713122301555
oct3040570000
91048725364
10411234304
111a1149468
12b587a994
1367275c10
143c88aa2c
1526182304
hex1882f000

411234304 has 52 divisors (see below), whose sum is σ = 885741976. Its totient is φ = 189775872.

The previous prime is 411234293. The next prime is 411234359. The reversal of 411234304 is 403432114.

It is a tau number, because it is divible by the number of its divisors (52).

It is a super-2 number, since 2×4112343042 = 338227305572728832, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 49387 + ... + 57109.

Almost surely, 2411234304 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 411234304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442870988).

411234304 is an abundant number, since it is smaller than the sum of its proper divisors (474507672).

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

411234304 is an equidigital number, since it uses as much as digits as its factorization.

411234304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7760 (or 7738 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 411234304 is about 20278.9127913703. The cubic root of 411234304 is about 743.6406327051.

Adding to 411234304 its reverse (403432114), we get a palindrome (814666418).

It can be divided in two parts, 4112 and 34304, that added together give a 4-th power (38416 = 144).

The spelling of 411234304 in words is "four hundred eleven million, two hundred thirty-four thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1664 2048 3328 4096 6656 7723 13312 15446 26624 30892 53248 61784 100399 123568 200798 247136 401596 494272 803192 988544 1606384 1977088 3212768 3954176 6425536 7908352 12851072 15816704 25702144 31633408 51404288 102808576 205617152 411234304