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30006784 = 29103569
BaseRepresentation
bin111001001110…
…1111000000000
32002110111120101
41302131320000
530140204114
62551052144
7513024223
oct162357000
962414511
1030006784
1115a355a5
12a071054
1362a80c2
143db15ba
15297ad74
hex1c9de00

30006784 has 40 divisors (see below), whose sum is σ = 60643440. Its totient is φ = 14831616.

The previous prime is 30006763. The next prime is 30006827. The reversal of 30006784 is 48760003.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 52452 + ... + 53020.

It is an arithmetic number, because the mean of its divisors is an integer number (1516086).

Almost surely, 230006784 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 30006784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30321720).

30006784 is an abundant number, since it is smaller than the sum of its proper divisors (30636656).

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

30006784 is an equidigital number, since it uses as much as digits as its factorization.

30006784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 30006784 is about 5477.8448316834. The cubic root of 30006784 is about 310.7466704583.

Adding to 30006784 its reverse (48760003), we get a palindrome (78766787).

The spelling of 30006784 in words is "thirty million, six thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 103 128 206 256 412 512 569 824 1138 1648 2276 3296 4552 6592 9104 13184 18208 26368 36416 52736 58607 72832 117214 145664 234428 291328 468856 937712 1875424 3750848 7501696 15003392 30006784