Search a number
-
+
30352140 = 2232571317109
BaseRepresentation
bin111001111001…
…0001100001100
32010010001022100
41303302030030
530232232030
63002315100
7515663130
oct163621414
963101270
1030352140
1116151015
12a1b8a90
136399360
1440613c0
1529e8360
hex1cf230c

30352140 has 288 divisors, whose sum is σ = 121080960. Its totient is φ = 5971968.

The previous prime is 30352121. The next prime is 30352141. The reversal of 30352140 is 4125303.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (30352141) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 278406 + ... + 278514.

It is an arithmetic number, because the mean of its divisors is an integer number (420420).

Almost surely, 230352140 is an apocalyptic number.

30352140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30352140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60540480).

30352140 is an abundant number, since it is smaller than the sum of its proper divisors (90728820).

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

30352140 is a wasteful number, since it uses less digits than its factorization.

30352140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 30352140 is about 5509.2776295990. The cubic root of 30352140 is about 311.9342810299.

Adding to 30352140 its reverse (4125303), we get a palindrome (34477443).

The spelling of 30352140 in words is "thirty million, three hundred fifty-two thousand, one hundred forty".