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30346289000 = 235331396953
BaseRepresentation
bin11100010000110001…
…111001111101101000
32220022212220012120122
4130100301321331220
5444122122222000
621535122142412
72123003125526
oct342061717550
986285805518
1030346289000
1111962764095
125a6aab1a08
132b2804c131
14167c42b316
15bc922d085
hex710c79f68

30346289000 has 64 divisors (see below), whose sum is σ = 71237921040. Its totient is φ = 12099609600.

The previous prime is 30346288963. The next prime is 30346289003. The reversal of 30346289000 is 98264303.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 82119844 + 30264169156 = 9062^2 + 173966^2 .

It is not an unprimeable number, because it can be changed into a prime (30346289003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 264524 + ... + 361476.

Almost surely, 230346289000 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 30346289000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35618960520).

30346289000 is an abundant number, since it is smaller than the sum of its proper divisors (40891632040).

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

30346289000 is a wasteful number, since it uses less digits than its factorization.

30346289000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97287 (or 97273 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The spelling of 30346289000 in words is "thirty billion, three hundred forty-six million, two hundred eighty-nine thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 313 500 626 1000 1252 1565 2504 3130 6260 7825 12520 15650 31300 39125 62600 78250 96953 156500 193906 313000 387812 484765 775624 969530 1939060 2423825 3878120 4847650 9695300 12119125 19390600 24238250 30346289 48476500 60692578 96953000 121385156 151731445 242770312 303462890 606925780 758657225 1213851560 1517314450 3034628900 3793286125 6069257800 7586572250 15173144500 30346289000