Search a number
-
+
30345340 = 22517149599
BaseRepresentation
bin111001111000…
…0100001111100
32010002200222111
41303300201330
530232022330
63002223404
7515634244
oct163604174
963080874
1030345340
11161469a3
12a1b4b64
13639622c
14405cb24
1529e632a
hex1cf087c

30345340 has 48 divisors (see below), whose sum is σ = 68040000. Its totient is φ = 11328512.

The previous prime is 30345319. The next prime is 30345347. The reversal of 30345340 is 4354303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30345347) 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 15 ways as a sum of consecutive naturals, for example, 50361 + ... + 50959.

It is an arithmetic number, because the mean of its divisors is an integer number (1417500).

Almost surely, 230345340 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 30345340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34020000).

30345340 is an abundant number, since it is smaller than the sum of its proper divisors (37694660).

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

30345340 is a wasteful number, since it uses less digits than its factorization.

30345340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 22.

The square root of 30345340 is about 5508.6604542302. The cubic root of 30345340 is about 311.9109843580.

Adding to 30345340 its reverse (4354303), we get a palindrome (34699643).

The spelling of 30345340 in words is "thirty million, three hundred forty-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 149 170 298 340 596 599 745 1198 1490 2396 2533 2980 2995 5066 5990 10132 10183 11980 12665 20366 25330 40732 50660 50915 89251 101830 178502 203660 357004 446255 892510 1517267 1785020 3034534 6069068 7586335 15172670 30345340