Search a number
-
+
30352362800 = 245229290227
BaseRepresentation
bin11100010001001001…
…000100110100110000
32220100022022210021012
4130101021010310300
5444130201102200
621535500250052
72123105553434
oct342111046460
986308283235
1030352362800
1111966132461
125a70b40928
132b293978b6
14167d16c9c4
15bc9a2ca35
hex711244d30

30352362800 has 90 divisors (see below), whose sum is σ = 75523633068. Its totient is φ = 11722161920.

The previous prime is 30352362767. The next prime is 30352362811. The reversal of 30352362800 is 826325303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 291287 + ... + 381513.

Almost surely, 230352362800 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 30352362800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37761816534).

30352362800 is an abundant number, since it is smaller than the sum of its proper divisors (45171270268).

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

30352362800 is a wasteful number, since it uses less digits than its factorization.

30352362800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90303 (or 90263 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The spelling of 30352362800 in words is "thirty billion, three hundred fifty-two million, three hundred sixty-two thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 145 200 232 290 400 464 580 725 841 1160 1450 1682 2320 2900 3364 4205 5800 6728 8410 11600 13456 16820 21025 33640 42050 67280 84100 90227 168200 180454 336400 360908 451135 721816 902270 1443632 1804540 2255675 2616583 3609080 4511350 5233166 7218160 9022700 10466332 13082915 18045400 20932664 26165830 36090800 41865328 52331660 65414575 75880907 104663320 130829150 151761814 209326640 261658300 303523628 379404535 523316600 607047256 758809070 1046633200 1214094512 1517618140 1897022675 3035236280 3794045350 6070472560 7588090700 15176181400 30352362800