Search a number
-
+
2304068004 = 223472178537
BaseRepresentation
bin1000100101010101…
…0100100110100100
312221120111210010000
42021111110212210
514204320134004
61020344101300
7111045153300
oct21125244644
95846453100
102304068004
11a8264a437
12543764830
132a946a964
1417c00ad00
15d7426c39
hex895549a4

2304068004 has 180 divisors, whose sum is σ = 7419709836. Its totient is φ = 619508736.

The previous prime is 2304067991. The next prime is 2304068017. The reversal of 2304068004 is 4008604032.

It is an interprime number because it is at equal distance from previous prime (2304067991) and next prime (2304068017).

It can be written as a sum of positive squares in 2 ways, for example, as 1922647104 + 381420900 = 43848^2 + 19530^2 .

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

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 59 ways as a sum of consecutive naturals, for example, 265624 + ... + 274160.

Almost surely, 22304068004 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 2304068004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3709854918).

2304068004 is an abundant number, since it is smaller than the sum of its proper divisors (5115641832).

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

2304068004 is a wasteful number, since it uses less digits than its factorization.

2304068004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8584 (or 8566 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2304068004 is about 48000.7083697730. The cubic root of 2304068004 is about 1320.7838938895.

The spelling of 2304068004 in words is "two billion, three hundred four million, sixty-eight thousand, four".