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2394106272 = 253225133119
BaseRepresentation
bin1000111010110011…
…0010100110100000
320011211221012101200
42032230302212200
514400342400042
61033322001200
7113220365445
oct21654624640
96154835350
102394106272
111019457528
12569946200
132c200413c
14189d679cc
15e02aec4c
hex8eb329a0

2394106272 has 72 divisors (see below), whose sum is σ = 6835570560. Its totient is φ = 794832000.

The previous prime is 2394106249. The next prime is 2394106279. The reversal of 2394106272 is 2726014932.

2394106272 is a `hidden beast` number, since 23 + 9 + 4 + 1 + 0 + 627 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2394106279) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55729 + ... + 88847.

It is an arithmetic number, because the mean of its divisors is an integer number (94938480).

Almost surely, 22394106272 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 2394106272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3417785280).

2394106272 is an abundant number, since it is smaller than the sum of its proper divisors (4441464288).

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

2394106272 is a wasteful number, since it uses less digits than its factorization.

2394106272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33386 (or 33375 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2394106272 is about 48929.6052712466. The cubic root of 2394106272 is about 1337.7690418920.

The spelling of 2394106272 in words is "two billion, three hundred ninety-four million, one hundred six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 251 288 502 753 1004 1506 2008 2259 3012 4016 4518 6024 8032 9036 12048 18072 24096 33119 36144 66238 72288 99357 132476 198714 264952 298071 397428 529904 596142 794856 1059808 1192284 1589712 2384568 3179424 4769136 8312869 9538272 16625738 24938607 33251476 49877214 66502952 74815821 99754428 133005904 149631642 199508856 266011808 299263284 399017712 598526568 798035424 1197053136 2394106272