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30345280 = 2657192331
BaseRepresentation
bin111001111000…
…0100001000000
32010002200220021
41303300201000
530232022110
63002223224
7515634130
oct163604100
963080807
1030345280
1116146949
12a1b4b14
1363961b4
14405cac0
1529e62da
hex1cf0840

30345280 has 224 divisors, whose sum is σ = 93634560. Its totient is φ = 9123840.

The previous prime is 30345269. The next prime is 30345313. The reversal of 30345280 is 8254303.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 978865 + ... + 978895.

Almost surely, 230345280 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 30345280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46817280).

30345280 is an abundant number, since it is smaller than the sum of its proper divisors (63289280).

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

30345280 is a wasteful number, since it uses less digits than its factorization.

30345280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 30345280 is about 5508.6550082575. The cubic root of 30345280 is about 311.9107787837.

Adding to 30345280 its reverse (8254303), we get a palindrome (38599583).

It can be divided in two parts, 30345 and 280, that added together give a square (30625 = 1752).

The spelling of 30345280 in words is "thirty million, three hundred forty-five thousand, two hundred eighty".