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2352940672 = 2731738123
BaseRepresentation
bin1000110000111111…
…0000011010000000
320001222110202210211
42030033300122000
514304323100142
61025251403504
7112210444225
oct21417603200
96058422724
102352940672
11aa81a0175
12557bb3594
132b661cbb4
141846cd94c
15db87c917
hex8c3f0680

2352940672 has 64 divisors (see below), whose sum is σ = 4905596160. Its totient is φ = 1122785280.

The previous prime is 2352940669. The next prime is 2352940673. The reversal of 2352940672 is 2760492532.

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

It is a super-3 number, since 3×23529406723 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2352940673) 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, 285603 + ... + 293725.

It is an arithmetic number, because the mean of its divisors is an integer number (76649940).

Almost surely, 22352940672 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 2352940672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2452798080).

2352940672 is an abundant number, since it is smaller than the sum of its proper divisors (2552655488).

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

2352940672 is an equidigital number, since it uses as much as digits as its factorization.

2352940672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8241 (or 8229 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The square root of 2352940672 is about 48507.1198073025. The cubic root of 2352940672 is about 1330.0572218017.

The spelling of 2352940672 in words is "two billion, three hundred fifty-two million, nine hundred forty thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 31 32 62 64 73 124 128 146 248 292 496 584 992 1168 1984 2263 2336 3968 4526 4672 8123 9052 9344 16246 18104 32492 36208 64984 72416 129968 144832 251813 259936 289664 503626 519872 592979 1007252 1039744 1185958 2014504 2371916 4029008 4743832 8058016 9487664 16116032 18382349 18975328 32232064 36764698 37950656 73529396 75901312 147058792 294117584 588235168 1176470336 2352940672