Search a number
-
+
2684434688 = 28132633067
BaseRepresentation
bin1010000000000001…
…0011100100000000
320221002020102002222
42200000103210000
520444203402223
61122212430212
7123344214125
oct24000234400
96832212088
102684434688
111158325571
1262b018368
1333a1c69c0
141b674074c
1510aa0d0c8
hexa0013900

2684434688 has 72 divisors (see below), whose sum is σ = 5794396608. Its totient is φ = 1233856512.

The previous prime is 2684434679. The next prime is 2684434699. The reversal of 2684434688 is 8864344862.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 873731 + ... + 876797.

Almost surely, 22684434688 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 2684434688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2897198304).

2684434688 is an abundant number, since it is smaller than the sum of its proper divisors (3109961920).

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

2684434688 is a wasteful number, since it uses less digits than its factorization.

2684434688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3359 (or 3345 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 53.

The square root of 2684434688 is about 51811.5304541373. The cubic root of 2684434688 is about 1389.7956478909.

The spelling of 2684434688 in words is "two billion, six hundred eighty-four million, four hundred thirty-four thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 263 416 526 832 1052 1664 2104 3067 3328 3419 4208 6134 6838 8416 12268 13676 16832 24536 27352 33664 39871 49072 54704 67328 79742 98144 109408 159484 196288 218816 318968 392576 437632 637936 785152 806621 875264 1275872 1613242 2551744 3226484 5103488 6452968 10206976 10486073 12905936 20972146 25811872 41944292 51623744 83888584 103247488 167777168 206494976 335554336 671108672 1342217344 2684434688