Search a number
-
+
2838034500 = 223537318719
BaseRepresentation
bin1010100100101000…
…1111100001000100
321022210021002102220
42221022033201010
521303014101000
61145340532340
7130220616030
oct25112174104
97283232386
102838034500
111226aa6364
126725510b0
13362c86272
141cccc51c0
1511924e1a0
hexa928f844

2838034500 has 192 divisors, whose sum is σ = 9750773760. Its totient is φ = 627696000.

The previous prime is 2838034483. The next prime is 2838034517. The reversal of 2838034500 is 54308382.

It is an interprime number because it is at equal distance from previous prime (2838034483) and next prime (2838034517).

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 63 ways as a sum of consecutive naturals, for example, 321141 + ... + 329859.

It is an arithmetic number, because the mean of its divisors is an integer number (50785280).

Almost surely, 22838034500 is an apocalyptic number.

2838034500 is a gapful number since it is divisible by the number (20) 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 2838034500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4875386880).

2838034500 is an abundant number, since it is smaller than the sum of its proper divisors (6912739260).

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

2838034500 is a wasteful number, since it uses less digits than its factorization.

2838034500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8779 (or 8767 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 2838034500 is about 53273.2062110025. The cubic root of 2838034500 is about 1415.8129820197.

The spelling of 2838034500 in words is "two billion, eight hundred thirty-eight million, thirty-four thousand, five hundred".