Search a number
-
+
30345480 = 23325117997
BaseRepresentation
bin111001111000…
…0100100001000
32010002201011200
41303300210020
530232023410
63002224200
7515634534
oct163604410
963081150
1030345480
1116147010
12a1b5060
136396309
14405cbc4
1529e63c0
hex1cf0908

30345480 has 192 divisors, whose sum is σ = 110073600. Its totient is φ = 7188480.

The previous prime is 30345479. The next prime is 30345517. The reversal of 30345480 is 8454303.

30345480 = T129 + T130 + ... + T568.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 312792 + ... + 312888.

It is an arithmetic number, because the mean of its divisors is an integer number (573300).

Almost surely, 230345480 is an apocalyptic number.

30345480 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 30345480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55036800).

30345480 is an abundant number, since it is smaller than the sum of its proper divisors (79728120).

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

30345480 is a wasteful number, since it uses less digits than its factorization.

30345480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 30345480 is about 5508.6731614791. The cubic root of 30345480 is about 311.9114640305.

Adding to 30345480 its reverse (8454303), we get a palindrome (38799783).

The spelling of 30345480 in words is "thirty million, three hundred forty-five thousand, four hundred eighty".