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804323664 = 243227120611
BaseRepresentation
bin101111111100010…
…000000101010000
32002001110212122100
4233330100011100
53121401324124
6211451240400
725634431644
oct5774200520
92061425570
10804323664
11383024301
121a5449100
13ca837b81
1478b72c24
154a92d1c9
hex2ff10150

804323664 has 60 divisors (see below), whose sum is σ = 2259404992. Its totient is φ = 267105600.

The previous prime is 804323657. The next prime is 804323683. The reversal of 804323664 is 466323408.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 28719 + ... + 49329.

Almost surely, 2804323664 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 804323664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129702496).

804323664 is an abundant number, since it is smaller than the sum of its proper divisors (1455081328).

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

804323664 is a wasteful number, since it uses less digits than its factorization.

804323664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20896 (or 20887 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 804323664 is about 28360.6005578161. The cubic root of 804323664 is about 929.9871520944.

The spelling of 804323664 in words is "eight hundred four million, three hundred twenty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 271 542 813 1084 1626 2168 2439 3252 4336 4878 6504 9756 13008 19512 20611 39024 41222 61833 82444 123666 164888 185499 247332 329776 370998 494664 741996 989328 1483992 2967984 5585581 11171162 16756743 22342324 33513486 44684648 50270229 67026972 89369296 100540458 134053944 201080916 268107888 402161832 804323664