Search a number
-
+
3084573690 = 2335112959607
BaseRepresentation
bin1011011111011010…
…1101101111111010
321221222011120122000
42313312231233322
522304122324230
61230025041430
7136303305132
oct26766555772
97858146560
103084573690
111343185960
12721026276
133a2086643
1421393dac2
15130becb60
hexb7dadbfa

3084573690 has 256 divisors, whose sum is σ = 9455616000. Its totient is φ = 708583680.

The previous prime is 3084573689. The next prime is 3084573691. The reversal of 3084573690 is 963754803.

It is an interprime number because it is at equal distance from previous prime (3084573689) and next prime (3084573691).

It is a super-2 number, since 2×30845736902 = 19029189698080432200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3084573691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5081367 + ... + 5081973.

It is an arithmetic number, because the mean of its divisors is an integer number (36936000).

Almost surely, 23084573690 is an apocalyptic number.

3084573690 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3084573690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4727808000).

3084573690 is an abundant number, since it is smaller than the sum of its proper divisors (6371042310).

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

3084573690 is a wasteful number, since it uses less digits than its factorization.

3084573690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 3084573690 is about 55538.9385026397. The cubic root of 3084573690 is about 1455.6771000959.

The spelling of 3084573690 in words is "three billion, eighty-four million, five hundred seventy-three thousand, six hundred ninety".