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30328064 = 28132701
BaseRepresentation
bin111001110110…
…0010100000000
32010001211021122
41303230110000
530230444224
63002011412
7515533004
oct163542400
963054248
1030328064
1116134a18
12a1a6b68
13638b400
144056704
1529e115e
hex1cec500

30328064 has 54 divisors (see below), whose sum is σ = 65646126. Its totient is φ = 13977600.

The previous prime is 30328063. The next prime is 30328087. The reversal of 30328064 is 46082303.

It can be written as a sum of positive squares in 3 ways, for example, as 1254400 + 29073664 = 1120^2 + 5392^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30328061) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 42914 + ... + 43614.

It is an arithmetic number, because the mean of its divisors is an integer number (1215669).

Almost surely, 230328064 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 30328064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32823063).

30328064 is an abundant number, since it is smaller than the sum of its proper divisors (35318062).

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

30328064 is an equidigital number, since it uses as much as digits as its factorization.

30328064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 30328064 is about 5507.0921546675. The cubic root of 30328064 is about 311.8517814504.

The spelling of 30328064 in words is "thirty million, three hundred twenty-eight thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 676 701 832 1352 1402 1664 2704 2804 3328 5408 5608 9113 10816 11216 18226 21632 22432 36452 43264 44864 72904 89728 118469 145808 179456 236938 291616 473876 583232 947752 1166464 1895504 2332928 3791008 7582016 15164032 30328064