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30320378172 = 22327315672
BaseRepresentation
bin11100001111001111…
…000100000100111100
32220021002010210121100
4130033033010010330
5444044004100142
621532354533100
72122236651000
oct341717040474
986232123540
1030320378172
111194a076987
125a62297190
132b22879496
141678c04700
15bc6d10b4c
hex70f3c413c

30320378172 has 108 divisors (see below), whose sum is σ = 89436874800. Its totient is φ = 8657436816.

The previous prime is 30320378147. The next prime is 30320378177. The reversal of 30320378172 is 27187302303.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

30320378172 is a `hidden beast` number, since 303 + 203 + 7 + 81 + 72 = 666.

It is a super-3 number, since 3×303203781723 (a number of 32 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30320378177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19348533 + ... + 19350099.

Almost surely, 230320378172 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 30320378172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44718437400).

30320378172 is an abundant number, since it is smaller than the sum of its proper divisors (59116496628).

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

30320378172 is an equidigital number, since it uses as much as digits as its factorization.

30320378172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3165 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 30320378172 in words is "thirty billion, three hundred twenty million, three hundred seventy-eight thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 343 441 588 686 882 1029 1372 1567 1764 2058 3087 3134 4116 4701 6174 6268 9402 10969 12348 14103 18804 21938 28206 32907 43876 56412 65814 76783 98721 131628 153566 197442 230349 307132 394884 460698 537481 691047 921396 1074962 1382094 1612443 2149924 2455489 2764188 3224886 4837329 4910978 6449772 7366467 9674658 9821956 14732934 17188423 19349316 22099401 29465868 34376846 44198802 51565269 68753692 88397604 103130538 120318961 154695807 206261076 240637922 309391614 360956883 481275844 618783228 721913766 842232727 1082870649 1443827532 1684465454 2165741298 2526698181 3368930908 4331482596 5053396362 7580094543 10106792724 15160189086 30320378172