Search a number
-
+
30067344 = 2432593539
BaseRepresentation
bin111001010110…
…0101010010000
32002120120122100
41302230222100
530144123334
62552240400
7513365616
oct162545220
962516570
1030067344
1115a7704a
12a0a0100
1362c9838
143dc96b6
15298dc99
hex1caca90

30067344 has 60 divisors (see below), whose sum is σ = 85597200. Its totient is φ = 9849792.

The previous prime is 30067343. The next prime is 30067351. The reversal of 30067344 is 44376003.

It is not an unprimeable number, because it can be changed into a prime (30067343) 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 11 ways as a sum of consecutive naturals, for example, 6727 + ... + 10265.

It is an arithmetic number, because the mean of its divisors is an integer number (1426620).

Almost surely, 230067344 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 30067344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42798600).

30067344 is an abundant number, since it is smaller than the sum of its proper divisors (55529856).

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

30067344 is a wasteful number, since it uses less digits than its factorization.

30067344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3612 (or 3603 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 30067344 is about 5483.3697668496. The cubic root of 30067344 is about 310.9555806881.

The spelling of 30067344 in words is "thirty million, sixty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 59 72 118 144 177 236 354 472 531 708 944 1062 1416 2124 2832 3539 4248 7078 8496 10617 14156 21234 28312 31851 42468 56624 63702 84936 127404 169872 208801 254808 417602 509616 626403 835204 1252806 1670408 1879209 2505612 3340816 3758418 5011224 7516836 10022448 15033672 30067344