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30328992 = 253411701
BaseRepresentation
bin111001110110…
…0100010100000
32010001212120000
41303230202200
530231011432
63002020000
7515535501
oct163544240
963055500
1030328992
1116135691
12a1a7600
13638b965
144056ba8
1529e157c
hex1cec8a0

30328992 has 60 divisors (see below), whose sum is σ = 89204346. Its totient is φ = 10108800.

The previous prime is 30328981. The next prime is 30329023. The reversal of 30328992 is 29982303.

It can be written as a sum of positive squares in only one way, i.e., 22240656 + 8088336 = 4716^2 + 2844^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3259 + ... + 8442.

Almost surely, 230328992 is an apocalyptic number.

30328992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

30328992 is an abundant number, since it is smaller than the sum of its proper divisors (58875354).

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

30328992 is a wasteful number, since it uses less digits than its factorization.

30328992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11723 (or 11706 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 30328992 is about 5507.1764090140. The cubic root of 30328992 is about 311.8549621733.

The spelling of 30328992 in words is "thirty million, three hundred twenty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 11701 23402 35103 46804 70206 93608 105309 140412 187216 210618 280824 315927 374432 421236 561648 631854 842472 947781 1123296 1263708 1684944 1895562 2527416 3369888 3791124 5054832 7582248 10109664 15164496 30328992