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30295328 = 25721392
BaseRepresentation
bin111001110010…
…0010100100000
32010000011101012
41303210110200
530223422303
63001200052
7515335400
oct163442440
963004335
1030295328
1116112368
12a190028
13637953b
144048800
1529d65d8
hex1ce4520

30295328 has 54 divisors (see below), whose sum is σ = 69884451. Its totient is φ = 12890304.

The previous prime is 30295327. The next prime is 30295337. The reversal of 30295328 is 82359203.

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.

It can be written as a sum of positive squares in only one way, i.e., 15147664 + 15147664 = 3892^2 + 3892^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=3892.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 30295294 and 30295303.

It is not an unprimeable number, because it can be changed into a prime (30295327) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 217883 + ... + 218021.

Almost surely, 230295328 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 30295328

30295328 is an abundant number, since it is smaller than the sum of its proper divisors (39589123).

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

30295328 is an equidigital number, since it uses as much as digits as its factorization.

30295328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 30295328 is about 5504.1191847561. The cubic root of 30295328 is about 311.7395371692.

Multiplying 30295328 by its sum of digits (32), we get a square (969450496 = 311362).

30295328 divided by its sum of digits (32) gives a square (946729 = 9732).

The spelling of 30295328 in words is "thirty million, two hundred ninety-five thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 139 196 224 278 392 556 784 973 1112 1568 1946 2224 3892 4448 6811 7784 13622 15568 19321 27244 31136 38642 54488 77284 108976 135247 154568 217952 270494 309136 540988 618272 946729 1081976 1893458 2163952 3786916 4327904 7573832 15147664 30295328