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30328596 = 223259109131
BaseRepresentation
bin111001110110…
…0011100010100
32010001212000100
41303230130110
530231003341
63002014100
7515534364
oct163543424
963055010
1030328596
1116135361
12a1a7330
13638b71c
1440569a4
1529e13b6
hex1cec714

30328596 has 72 divisors (see below), whose sum is σ = 79279200. Its totient is φ = 9771840.

The previous prime is 30328589. The next prime is 30328607. The reversal of 30328596 is 69582303.

30328596 is a `hidden beast` number, since 30 + 32 + 8 + 596 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 30328596.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 231451 + ... + 231581.

It is an arithmetic number, because the mean of its divisors is an integer number (1101100).

Almost surely, 230328596 is an apocalyptic number.

30328596 is a gapful number since it is divisible by the number (36) 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 30328596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39639600).

30328596 is an abundant number, since it is smaller than the sum of its proper divisors (48950604).

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

30328596 is a wasteful number, since it uses less digits than its factorization.

30328596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 30328596 is about 5507.1404558083. The cubic root of 30328596 is about 311.8536048900.

It can be divided in two parts, 3032 and 8596, that added together give a triangular number (11628 = T152).

The spelling of 30328596 in words is "thirty million, three hundred twenty-eight thousand, five hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 59 109 118 131 177 218 236 262 327 354 393 436 524 531 654 708 786 981 1062 1179 1308 1572 1962 2124 2358 3924 4716 6431 7729 12862 14279 15458 19293 23187 25724 28558 30916 38586 42837 46374 57116 57879 69561 77172 85674 92748 115758 128511 139122 171348 231516 257022 278244 514044 842461 1684922 2527383 3369844 5054766 7582149 10109532 15164298 30328596