Search a number
-
+
2823043104 = 25347192431
BaseRepresentation
bin1010100001000100…
…0011100000100000
321021202001110010000
42220101003200200
521240144334404
61144043340000
7126646320240
oct25021034040
97252043100
102823043104
111219597082
12669521600
1335cb3780b
141cad01b20
15117c8c339
hexa8443820

2823043104 has 360 divisors, whose sum is σ = 10037478528. Its totient is φ = 762359040.

The previous prime is 2823043073. The next prime is 2823043121. The reversal of 2823043104 is 4013403282.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6549769 + ... + 6550199.

Almost surely, 22823043104 is an apocalyptic number.

2823043104 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 2823043104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5018739264).

2823043104 is an abundant number, since it is smaller than the sum of its proper divisors (7214435424).

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

2823043104 is a wasteful number, since it uses less digits than its factorization.

2823043104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 462 counting only the distinct ones).

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

The square root of 2823043104 is about 53132.3169455276. The cubic root of 2823043104 is about 1413.3156556074.

Adding to 2823043104 its reverse (4013403282), we get a palindrome (6836446386).

The spelling of 2823043104 in words is "two billion, eight hundred twenty-three million, forty-three thousand, one hundred four".