Search a number
-
+
30323302000 = 245318798069
BaseRepresentation
bin11100001111011010…
…001101111001110000
32220021021122100100021
4130033122031321300
5444100231131000
621532541333224
72122303546165
oct341732157160
986237570307
1030323302000
1111950793672
125a63267214
132b23361264
14167936606c
15bc71dc11a
hex70f68de70

30323302000 has 80 divisors (see below), whose sum is σ = 73369857600. Its totient is φ = 12121363200.

The previous prime is 30323301973. The next prime is 30323302003. The reversal of 30323302000 is 20332303.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30323302003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3753966 + ... + 3762034.

It is an arithmetic number, because the mean of its divisors is an integer number (917123220).

Almost surely, 230323302000 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 30323302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36684928800).

30323302000 is an abundant number, since it is smaller than the sum of its proper divisors (43046555600).

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

30323302000 is a wasteful number, since it uses less digits than its factorization.

30323302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9971 (or 9955 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 16.

Adding to 30323302000 its reverse (20332303), we get a palindrome (30343634303).

The spelling of 30323302000 in words is "thirty billion, three hundred twenty-three million, three hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1879 2000 3758 7516 8069 9395 15032 16138 18790 30064 32276 37580 40345 46975 64552 75160 80690 93950 129104 150320 161380 187900 201725 234875 322760 375800 403450 469750 645520 751600 806900 939500 1008625 1613800 1879000 2017250 3227600 3758000 4034500 8069000 15161651 16138000 30323302 60646604 75808255 121293208 151616510 242586416 303233020 379041275 606466040 758082550 1212932080 1516165100 1895206375 3032330200 3790412750 6064660400 7580825500 15161651000 30323302000