Search a number
-
+
30502368 = 2532138147
BaseRepresentation
bin111010001011…
…0110111100000
32010101200101100
41310112313200
530302033433
63005434400
7520160121
oct164266740
963350340
1030502368
1116243976
12a26ba00
13641c850
1440a0048
152a27b13
hex1d16de0

30502368 has 72 divisors (see below), whose sum is σ = 93424968. Its totient is φ = 9384192.

The previous prime is 30502363. The next prime is 30502387. The reversal of 30502368 is 86320503.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30502363) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 330 + ... + 7817.

It is an arithmetic number, because the mean of its divisors is an integer number (1297569).

Almost surely, 230502368 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 30502368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46712484).

30502368 is an abundant number, since it is smaller than the sum of its proper divisors (62922600).

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

30502368 is a wasteful number, since it uses less digits than its factorization.

30502368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8176 (or 8165 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 30502368 is about 5522.8948930792. The cubic root of 30502368 is about 312.4480741457.

The spelling of 30502368 in words is "thirty million, five hundred two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 8147 16294 24441 32588 48882 65176 73323 97764 105911 130352 146646 195528 211822 260704 293292 317733 391056 423644 586584 635466 782112 847288 953199 1173168 1270932 1694576 1906398 2346336 2541864 3389152 3812796 5083728 7625592 10167456 15251184 30502368