Search a number
-
+
30216348 = 22331272203
BaseRepresentation
bin111001101000…
…1000010011100
32002212011001000
41303101002130
530213410343
62555350300
7514556211
oct163210234
962764030
1030216348
1116068a98
12a152390
13634c5c6
144027b08
1529bced3
hex1cd109c

30216348 has 48 divisors (see below), whose sum is σ = 78991360. Its totient is φ = 9988272.

The previous prime is 30216337. The next prime is 30216349. The reversal of 30216348 is 84361203.

It is a happy number.

30216348 is a `hidden beast` number, since 3 + 0 + 21 + 634 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30216349) 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 15 ways as a sum of consecutive naturals, for example, 12615 + ... + 14817.

Almost surely, 230216348 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 30216348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39495680).

30216348 is an abundant number, since it is smaller than the sum of its proper divisors (48775012).

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

30216348 is a wasteful number, since it uses less digits than its factorization.

30216348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2343 (or 2335 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 30216348 is about 5496.9398759674. The cubic root of 30216348 is about 311.4683994818.

The spelling of 30216348 in words is "thirty million, two hundred sixteen thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 127 254 381 508 762 1143 1524 2203 2286 3429 4406 4572 6609 6858 8812 13218 13716 19827 26436 39654 59481 79308 118962 237924 279781 559562 839343 1119124 1678686 2518029 3357372 5036058 7554087 10072116 15108174 30216348