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2430323172 = 2232404916673
BaseRepresentation
bin1001000011011011…
…1100100111100100
320021101002012122100
42100312330213210
514434130320142
61041054132100
7114140256204
oct22066744744
96241065570
102430323172
111037943852
12579ab1030
132c9674a64
14190ab4404
15e3565b4c
hex90dbc9e4

2430323172 has 36 divisors (see below), whose sum is σ = 6145202700. Its totient is φ = 809859072.

The previous prime is 2430323171. The next prime is 2430323177. The reversal of 2430323172 is 2713230342.

2430323172 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1519128576 + 911194596 = 38976^2 + 30186^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (2430323171) 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, 137428 + ... + 154100.

It is an arithmetic number, because the mean of its divisors is an integer number (170700075).

Almost surely, 22430323172 is an apocalyptic number.

It is an amenable number.

2430323172 is an abundant number, since it is smaller than the sum of its proper divisors (3714879528).

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

2430323172 is a wasteful number, since it uses less digits than its factorization.

2430323172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20732 (or 20727 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 2430323172 is about 49298.3080034193. The cubic root of 2430323172 is about 1344.4810206888.

The spelling of 2430323172 in words is "two billion, four hundred thirty million, three hundred twenty-three thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 4049 8098 12147 16196 16673 24294 33346 36441 48588 50019 66692 72882 100038 145764 150057 200076 300114 600228 67508977 135017954 202526931 270035908 405053862 607580793 810107724 1215161586 2430323172