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30305072 = 2473771103
BaseRepresentation
bin111001110011…
…0101100110000
32010000122202002
41303212230300
530224230242
63001313132
7515405660
oct163465460
963018662
1030305072
1116119716
12a1957a8
136380ac5
14404c1a0
1529d9432
hex1ce6b30

30305072 has 80 divisors (see below), whose sum is σ = 70566912. Its totient is φ = 12337920.

The previous prime is 30305069. The next prime is 30305129. The reversal of 30305072 is 27050303.

It is an alternating number because its digits alternate between odd and even.

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 15 ways as a sum of consecutive naturals, for example, 294173 + ... + 294275.

Almost surely, 230305072 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 30305072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35283456).

30305072 is an abundant number, since it is smaller than the sum of its proper divisors (40261840).

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

30305072 is a wasteful number, since it uses less digits than its factorization.

30305072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 20.

The square root of 30305072 is about 5505.0042688448. The cubic root of 30305072 is about 311.7729555723.

Adding to 30305072 its reverse (27050303), we get a palindrome (57355375).

The spelling of 30305072 in words is "thirty million, three hundred five thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 28 37 56 71 74 103 112 142 148 206 259 284 296 412 497 518 568 592 721 824 994 1036 1136 1442 1648 1988 2072 2627 2884 3811 3976 4144 5254 5768 7313 7622 7952 10508 11536 14626 15244 18389 21016 26677 29252 30488 36778 42032 51191 53354 58504 60976 73556 102382 106708 117008 147112 204764 213416 270581 294224 409528 426832 541162 819056 1082324 1894067 2164648 3788134 4329296 7576268 15152536 30305072