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2134332032 = 2774794973
BaseRepresentation
bin111111100110111…
…0101001010000000
312111202010022010112
41333031311022000
513332342111112
6551442050452
7103614344240
oct17715651200
95452108115
102134332032
119a5858278
124b6949a28
1328024b881
14163665b20
15c7599a22
hex7f375280

2134332032 has 64 divisors (see below), whose sum is σ = 4870540800. Its totient is φ = 912620544.

The previous prime is 2134332029. The next prime is 2134332037. The reversal of 2134332032 is 2302334312.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 2134331989 and 2134332007.

It is not an unprimeable number, because it can be changed into a prime (2134332037) 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, 426698 + ... + 431670.

It is an arithmetic number, because the mean of its divisors is an integer number (76102200).

Almost surely, 22134332032 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 2134332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2435270400).

2134332032 is an abundant number, since it is smaller than the sum of its proper divisors (2736208768).

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

2134332032 is an equidigital number, since it uses as much as digits as its factorization.

2134332032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5473 (or 5461 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

The square root of 2134332032 is about 46198.8315003746. The cubic root of 2134332032 is about 1287.5200300023.

Adding to 2134332032 its reverse (2302334312), we get a palindrome (4436666344).

The spelling of 2134332032 in words is "two billion, one hundred thirty-four million, three hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 479 896 958 1916 3353 3832 4973 6706 7664 9946 13412 15328 19892 26824 30656 34811 39784 53648 61312 69622 79568 107296 139244 159136 214592 278488 318272 429184 556976 636544 1113952 2227904 2382067 4455808 4764134 9528268 16674469 19056536 33348938 38113072 66697876 76226144 133395752 152452288 266791504 304904576 533583008 1067166016 2134332032