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30924288 = 29332237
BaseRepresentation
bin111010111110…
…1111000000000
32011012010011000
41311331320000
530404034123
63022452000
7523565163
oct165757000
964163130
1030924288
111650196a
12a434000
1365398c5
14416dada
152aacb43
hex1d7de00

30924288 has 80 divisors (see below), whose sum is σ = 91578960. Its totient is φ = 10303488.

The previous prime is 30924287. The next prime is 30924307. The reversal of 30924288 is 88242903.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30924287) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 12706 + ... + 14942.

It is an arithmetic number, because the mean of its divisors is an integer number (1144737).

Almost surely, 230924288 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 30924288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45789480).

30924288 is an abundant number, since it is smaller than the sum of its proper divisors (60654672).

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

30924288 is an equidigital number, since it uses as much as digits as its factorization.

30924288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2264 (or 2242 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 30924288 is about 5560.9610680169. The cubic root of 30924288 is about 313.8821145912.

The spelling of 30924288 in words is "thirty million, nine hundred twenty-four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2237 2304 3456 4474 4608 6711 6912 8948 13422 13824 17896 20133 26844 35792 40266 53688 60399 71584 80532 107376 120798 143168 161064 214752 241596 286336 322128 429504 483192 572672 644256 859008 966384 1145344 1288512 1718016 1932768 2577024 3436032 3865536 5154048 7731072 10308096 15462144 30924288