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30280320 = 273257751
BaseRepresentation
bin111001110000…
…0101010000000
32002222101210100
41303200222000
530222432240
63001002400
7515243550
oct163405200
962871710
1030280320
1116102064
12a183400
136372765
144043160
1529d1e30
hex1ce0a80

30280320 has 192 divisors, whose sum is σ = 119658240. Its totient is φ = 6912000.

The previous prime is 30280303. The next prime is 30280333. The reversal of 30280320 is 2308203.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 30280293 and 30280302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39945 + ... + 40695.

It is an arithmetic number, because the mean of its divisors is an integer number (623220).

Almost surely, 230280320 is an apocalyptic number.

30280320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30280320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59829120).

30280320 is an abundant number, since it is smaller than the sum of its proper divisors (89377920).

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

30280320 is a wasteful number, since it uses less digits than its factorization.

30280320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 30280320 is about 5502.7556732968. The cubic root of 30280320 is about 311.6880511253.

Adding to 30280320 its reverse (2308203), we get a palindrome (32588523).

The spelling of 30280320 in words is "thirty million, two hundred eighty thousand, three hundred twenty".