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30327048 = 2334172753
BaseRepresentation
bin111001110110…
…0000100001000
32010001202220000
41303230010020
530230431143
63002003000
7515530023
oct163540410
963052800
1030327048
1116134184
12a1a6460
13638aacb
1440561ba
1529e0bd3
hex1cec108

30327048 has 80 divisors (see below), whose sum is σ = 89973180. Its totient is φ = 9510912.

The previous prime is 30327043. The next prime is 30327067. The reversal of 30327048 is 84072303.

It is a Cunningham number, because it is equal to 55072-1.

It can be written as a sum of positive squares in 2 ways, for example, as 25583364 + 4743684 = 5058^2 + 2178^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (30327043) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9640 + ... + 12392.

Almost surely, 230327048 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 30327048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44986590).

30327048 is an abundant number, since it is smaller than the sum of its proper divisors (59646132).

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

30327048 is a wasteful number, since it uses less digits than its factorization.

30327048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2788 (or 2775 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 30327048 is about 5506.9999092065. Note that the first 4 decimals coincide. The cubic root of 30327048 is about 311.8482990328.

The spelling of 30327048 in words is "thirty million, three hundred twenty-seven thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 306 324 408 459 612 648 918 1224 1377 1836 2753 2754 3672 5506 5508 8259 11012 11016 16518 22024 24777 33036 46801 49554 66072 74331 93602 99108 140403 148662 187204 198216 222993 280806 297324 374408 421209 445986 561612 594648 842418 891972 1123224 1263627 1684836 1783944 2527254 3369672 3790881 5054508 7581762 10109016 15163524 30327048