Search a number
-
+
2328695808 = 2103839133
BaseRepresentation
bin1000101011001101…
…0001010000000000
320000021212000002220
42022303101100000
514232121231213
61023024011040
7111464405415
oct21263212000
96007760086
102328695808
11a9554069a
1254ba60a80
132b15b161a
141813bc10c
15d968de23
hex8acd1400

2328695808 has 88 divisors (see below), whose sum is σ = 6282292128. Its totient is φ = 766795776.

The previous prime is 2328695807. The next prime is 2328695813. The reversal of 2328695808 is 8085968232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2328695807) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 250410 + ... + 259542.

Almost surely, 22328695808 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 2328695808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3141146064).

2328695808 is an abundant number, since it is smaller than the sum of its proper divisors (3953596320).

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

2328695808 is an equidigital number, since it uses as much as digits as its factorization.

2328695808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9239 (or 9221 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The square root of 2328695808 is about 48256.5623309411. The cubic root of 2328695808 is about 1325.4731065709.

The spelling of 2328695808 in words is "two billion, three hundred twenty-eight million, six hundred ninety-five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 128 166 192 249 256 332 384 498 512 664 768 996 1024 1328 1536 1992 2656 3072 3984 5312 7968 9133 10624 15936 18266 21248 27399 31872 36532 42496 54798 63744 73064 84992 109596 127488 146128 219192 254976 292256 438384 584512 758039 876768 1169024 1516078 1753536 2274117 2338048 3032156 3507072 4548234 4676096 6064312 7014144 9096468 9352192 12128624 14028288 18192936 24257248 28056576 36385872 48514496 72771744 97028992 145543488 194057984 291086976 388115968 582173952 776231936 1164347904 2328695808