Search a number
-
+
3840908208 = 243418921929
BaseRepresentation
bin1110010011101111…
…1001101110110000
3100220200100100112120
43210323321232300
530331233030313
61433043554240
7164116116054
oct34473715660
910820310476
103840908208
1116a1102205
128b238b980
1349298b467
1428617dc64
151772ebd23
hexe4ef9bb0

3840908208 has 80 divisors (see below), whose sum is σ = 10279029600. Its totient is φ = 1234984960.

The previous prime is 3840908177. The next prime is 3840908231. The reversal of 3840908208 is 8028090483.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3840908208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164188 + ... + 186116.

It is an arithmetic number, because the mean of its divisors is an integer number (128487870).

Almost surely, 23840908208 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 3840908208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5139514800).

3840908208 is an abundant number, since it is smaller than the sum of its proper divisors (6438121392).

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

3840908208 is a wasteful number, since it uses less digits than its factorization.

3840908208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22070 (or 22064 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 3840908208 is about 61975.0611778641. The cubic root of 3840908208 is about 1566.0705020870.

The spelling of 3840908208 in words is "three billion, eight hundred forty million, nine hundred eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 89 123 164 178 246 267 328 356 492 534 656 712 984 1068 1424 1968 2136 3649 4272 7298 10947 14596 21894 21929 29192 43788 43858 58384 65787 87576 87716 131574 175152 175432 263148 350864 526296 899089 1052592 1798178 1951681 2697267 3596356 3903362 5394534 5855043 7192712 7806724 10789068 11710086 14385424 15613448 21578136 23420172 31226896 43156272 46840344 80018921 93680688 160037842 240056763 320075684 480113526 640151368 960227052 1280302736 1920454104 3840908208