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804323520 = 263457111331
BaseRepresentation
bin101111111100010…
…000000011000000
32002001110212110000
4233330100003000
53121401323040
6211451240000
725634431350
oct5774200300
92061425400
10804323520
11383024190
121a5449000
13ca837aa0
1478b72b60
154a92d130
hex2ff100c0

804323520 has 1120 divisors, whose sum is σ = 3965423616. Its totient is φ = 149299200.

The previous prime is 804323519. The next prime is 804323521. The reversal of 804323520 is 25323408.

804323520 is a `hidden beast` number, since 80 + 43 + 23 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (804323519) and next prime (804323521).

It is a tau number, because it is divible by the number of its divisors (1120).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (804323521) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 25945905 + ... + 25945935.

Almost surely, 2804323520 is an apocalyptic number.

804323520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 804323520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1982711808).

804323520 is an abundant number, since it is smaller than the sum of its proper divisors (3161100096).

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

804323520 is a wasteful number, since it uses less digits than its factorization.

804323520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 804323520 is about 28360.5980190827. The cubic root of 804323520 is about 929.9870965952.

Adding to 804323520 its reverse (25323408), we get a palindrome (829646928).

The spelling of 804323520 in words is "eight hundred four million, three hundred twenty-three thousand, five hundred twenty".