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30270688 = 257337401
BaseRepresentation
bin111001101111…
…0010011100000
32002221220120121
41303132103200
530222130223
63000450024
7515203510
oct163362340
962856517
1030270688
11160a58a8
12a179914
13636b266
14403d840
1529ce15d
hex1cde4e0

30270688 has 48 divisors (see below), whose sum is σ = 68481504. Its totient is φ = 12902400.

The previous prime is 30270671. The next prime is 30270697. The reversal of 30270688 is 88607203.

It is a happy number.

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 7 ways as a sum of consecutive naturals, for example, 75288 + ... + 75688.

It is an arithmetic number, because the mean of its divisors is an integer number (1426698).

Almost surely, 230270688 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 30270688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34240752).

30270688 is an abundant number, since it is smaller than the sum of its proper divisors (38210816).

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

30270688 is a wasteful number, since it uses less digits than its factorization.

30270688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 30270688 is about 5501.8804058249. The cubic root of 30270688 is about 311.6549988801.

The spelling of 30270688 in words is "thirty million, two hundred seventy thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 337 401 674 802 1348 1604 2359 2696 2807 3208 4718 5392 5614 6416 9436 10784 11228 12832 18872 22456 37744 44912 75488 89824 135137 270274 540548 945959 1081096 1891918 2162192 3783836 4324384 7567672 15135344 30270688