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30279568 = 2411434001
BaseRepresentation
bin111001110000…
…0011110010000
32002222100202111
41303200132100
530222421233
63000555104
7515241424
oct163403620
962870674
1030279568
1116101540
12a182a94
136372307
144042b84
1529d1acd
hex1ce0790

30279568 has 40 divisors (see below), whose sum is σ = 65504736. Its totient is φ = 13440000.

The previous prime is 30279563. The next prime is 30279581. The reversal of 30279568 is 86597203.

It is a self number, because there is not a number n which added to its sum of digits gives 30279568.

It is not an unprimeable number, because it can be changed into a prime (30279563) 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 7 ways as a sum of consecutive naturals, for example, 5568 + ... + 9568.

Almost surely, 230279568 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 30279568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32752368).

30279568 is an abundant number, since it is smaller than the sum of its proper divisors (35225168).

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

30279568 is a wasteful number, since it uses less digits than its factorization.

30279568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4063 (or 4057 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 30279568 is about 5502.6873434714. The cubic root of 30279568 is about 311.6854708867.

The spelling of 30279568 in words is "thirty million, two hundred seventy-nine thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 43 44 86 88 172 176 344 473 688 946 1892 3784 4001 7568 8002 16004 32008 44011 64016 88022 172043 176044 344086 352088 688172 704176 1376344 1892473 2752688 3784946 7569892 15139784 30279568