Search a number
-
+
3822364728 = 2335713173141
BaseRepresentation
bin1110001111010100…
…1010100000111000
3100212101110020200000
43203311022200320
530312011132403
61431142313000
7163502364330
oct34365124070
910771406600
103822364728
111691697216
128a8128760
1348bb97ca0
142839140c0
151758877a3
hexe3d4a838

3822364728 has 768 divisors, whose sum is σ = 14793891840. Its totient is φ = 895795200.

The previous prime is 3822364709. The next prime is 3822364751. The reversal of 3822364728 is 8274632283.

It is a super-2 number, since 2×38223647282 = 29220944227717027968, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 93228388 + ... + 93228428.

It is an arithmetic number, because the mean of its divisors is an integer number (19262880).

Almost surely, 23822364728 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 3822364728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7396945920).

3822364728 is an abundant number, since it is smaller than the sum of its proper divisors (10971527112).

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

3822364728 is a wasteful number, since it uses less digits than its factorization.

3822364728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 114 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 3822364728 is about 61825.2758020536. The cubic root of 3822364728 is about 1563.5461635867.

The spelling of 3822364728 in words is "three billion, eight hundred twenty-two million, three hundred sixty-four thousand, seven hundred twenty-eight".