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30073728 = 27378317
BaseRepresentation
bin111001010111…
…0001110000000
32002120220101210
41302232032000
530144324403
62552330120
7513423336
oct162561600
962526353
1030073728
1115a80923
12a0a3940
1362cc709
143dcbb56
152990b03
hex1cae380

30073728 has 32 divisors (see below), whose sum is σ = 79884360. Its totient is φ = 10024448.

The previous prime is 30073721. The next prime is 30073759. The reversal of 30073728 is 82737003.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 30073695 and 30073704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30073721) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 38775 + ... + 39542.

Almost surely, 230073728 is an apocalyptic number.

It is an amenable number.

30073728 is an abundant number, since it is smaller than the sum of its proper divisors (49810632).

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

30073728 is an equidigital number, since it uses as much as digits as its factorization.

30073728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78334 (or 78322 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 30073728 is about 5483.9518597449. The cubic root of 30073728 is about 310.9775868437.

The spelling of 30073728 in words is "thirty million, seventy-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 78317 156634 234951 313268 469902 626536 939804 1253072 1879608 2506144 3759216 5012288 7518432 10024576 15036864 30073728