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30446760100 = 2252174492
BaseRepresentation
bin11100010110110001…
…001011000010100100
32220120212221200000111
4130112301023002210
5444323332310400
621553111422404
72125333122301
oct342661130244
986525850014
1030446760100
1111a04447559
125a98684a04
132b42ac91a3
14168b9020a8
15bd2e773ba
hex716c4b0a4

30446760100 has 27 divisors (see below), whose sum is σ = 66073256067. Its totient is φ = 12178006080.

The previous prime is 30446760089. The next prime is 30446760107. The reversal of 30446760100 is 106764403.

The square root of 30446760100 is 174490.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 8804819556 + 21641940544 = 93834^2 + 147112^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (30446760107) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1736176 + ... + 1753624.

Almost surely, 230446760100 is an apocalyptic number.

30446760100 is the 174490-th square number.

It is an amenable number.

30446760100 is an abundant number, since it is smaller than the sum of its proper divisors (35626495967).

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

30446760100 is an frugal number, since it uses more digits than its factorization.

30446760100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34912 (or 17456 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The spelling of 30446760100 in words is "thirty billion, four hundred forty-six million, seven hundred sixty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 17449 34898 69796 87245 174490 348980 436225 872450 1744900 304467601 608935202 1217870404 1522338005 3044676010 6089352020 7611690025 15223380050 30446760100