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30200320 = 29547251
BaseRepresentation
bin111001100110…
…1001000000000
32002211100001101
41303031020000
530212402240
62555144144
7514461403
oct163151000
962740041
1030200320
1116057a47
12a145054
136345217
144021d3a
1529b839a
hex1ccd200

30200320 has 80 divisors (see below), whose sum is σ = 74245248. Its totient is φ = 11776000.

The previous prime is 30200309. The next prime is 30200323. The reversal of 30200320 is 2300203.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 30200297 and 30200306.

It is not an unprimeable number, because it can be changed into a prime (30200323) 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, 120195 + ... + 120445.

Almost surely, 230200320 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 30200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37122624).

30200320 is an abundant number, since it is smaller than the sum of its proper divisors (44044928).

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

30200320 is an equidigital number, since it uses as much as digits as its factorization.

30200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 30200320 is about 5495.4817805175. The cubic root of 30200320 is about 311.4133178368.

Adding to 30200320 its reverse (2300203), we get a palindrome (32500523).

The spelling of 30200320 in words is "thirty million, two hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 64 80 94 128 160 188 235 251 256 320 376 470 502 512 640 752 940 1004 1255 1280 1504 1880 2008 2510 2560 3008 3760 4016 5020 6016 7520 8032 10040 11797 12032 15040 16064 20080 23594 24064 30080 32128 40160 47188 58985 60160 64256 80320 94376 117970 120320 128512 160640 188752 235940 321280 377504 471880 642560 755008 943760 1510016 1887520 3020032 3775040 6040064 7550080 15100160 30200320