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2804834304 = 213351409
BaseRepresentation
bin1010011100101110…
…0110000000000000
321020110210100100000
42213023212000000
521221014144204
61142153200000
7126335461326
oct24713460000
97213710300
102804834304
11120a28a588
12663400000
1335913078c
141c8721d16
15116392039
hexa72e6000

2804834304 has 168 divisors, whose sum is σ = 8408410920. Its totient is φ = 934281216.

The previous prime is 2804834287. The next prime is 2804834311. The reversal of 2804834304 is 4034384082.

2804834304 is a `hidden beast` number, since 280 + 48 + 34 + 304 = 666.

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 (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1989952 + ... + 1991360.

It is an arithmetic number, because the mean of its divisors is an integer number (50050065).

Almost surely, 22804834304 is an apocalyptic number.

2804834304 is a gapful number since it is divisible by the number (24) 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 2804834304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4204205460).

2804834304 is an abundant number, since it is smaller than the sum of its proper divisors (5603576616).

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

2804834304 is an frugal number, since it uses more digits than its factorization.

2804834304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 2804834304 is about 52960.6864003857. The cubic root of 2804834304 is about 1410.2704415613.

The spelling of 2804834304 in words is "two billion, eight hundred four million, eight hundred thirty-four thousand, three hundred four".