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30323043400 = 23521317536653
BaseRepresentation
bin11100001111011001…
…001110110001001000
32220021021011012121111
4130033121032301020
5444100144342100
621532532020104
72122301421226
oct341731166110
986237135544
1030323043400
1111950627351
125a63161634
132b232a0640
1416792d9b16
15bc718a6ba
hex70f64ec48

30323043400 has 96 divisors (see below), whose sum is σ = 75978965160. Its totient is φ = 11188131840.

The previous prime is 30323043397. The next prime is 30323043427. The reversal of 30323043400 is 434032303.

It can be written as a sum of positive squares in 12 ways, for example, as 8754596356 + 21568447044 = 93566^2 + 146862^2 .

It is a super-2 number, since 2×303230434002 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4554474 + ... + 4561126.

Almost surely, 230323043400 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 30323043400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37989482580).

30323043400 is an abundant number, since it is smaller than the sum of its proper divisors (45655921760).

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

30323043400 is a wasteful number, since it uses less digits than its factorization.

30323043400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8435 (or 8426 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 22.

Adding to 30323043400 its reverse (434032303), we get a palindrome (30757075703).

The spelling of 30323043400 in words is "thirty billion, three hundred twenty-three million, forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 1753 2600 3506 6653 7012 8765 13306 14024 17530 22789 26612 33265 35060 43825 45578 53224 66530 70120 86489 87650 91156 113945 133060 166325 172978 175300 182312 227890 266120 332650 345956 350600 432445 455780 569725 665300 691912 864890 911560 1139450 1330600 1729780 2162225 2278900 3459560 4324450 4557800 8648900 11662709 17297800 23325418 46650836 58313545 93301672 116627090 151615217 233254180 291567725 303230434 466508360 583135450 606460868 758076085 1166270900 1212921736 1516152170 2332541800 3032304340 3790380425 6064608680 7580760850 15161521700 30323043400