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2323432804 = 22721123132
BaseRepresentation
bin1000101001111100…
…1100010101100100
312222220221121121211
42022133030111210
514224244322204
61022315121204
7111401565400
oct21237142544
95886847554
102323432804
11a92576500
1254a143204
132b048ac14
1418080c100
15d8e9e804
hex8a7cc564

2323432804 has 81 divisors (see below), whose sum is σ = 5215583961. Its totient is φ = 902341440.

The previous prime is 2323432801. The next prime is 2323432819. The reversal of 2323432804 is 4082343232.

The square root of 2323432804 is 48202.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 14822500 + 2308610304 = 3850^2 + 48048^2 .

It is not an unprimeable number, because it can be changed into a prime (2323432801) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7422952 + ... + 7423264.

Almost surely, 22323432804 is an apocalyptic number.

2323432804 is the 48202-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2323432804

2323432804 is an abundant number, since it is smaller than the sum of its proper divisors (2892151157).

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

2323432804 is a wasteful number, since it uses less digits than its factorization.

2323432804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

The cubic root of 2323432804 is about 1324.4738015481.

The spelling of 2323432804 in words is "two billion, three hundred twenty-three million, four hundred thirty-two thousand, eight hundred four".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 121 154 196 242 308 313 484 539 626 847 1078 1252 1694 2156 2191 3388 3443 4382 5929 6886 8764 11858 13772 15337 23716 24101 30674 37873 48202 61348 75746 96404 97969 151492 168707 195938 265111 337414 391876 530222 674828 685783 1060444 1077659 1371566 1855777 2155318 2743132 3711554 4310636 4800481 7423108 7543613 9600962 11854249 15087226 19201924 23708498 30174452 47416996 52805291 82979743 105610582 165959486 211221164 331918972 580858201 1161716402 2323432804