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30244340300 = 225216312771453
BaseRepresentation
bin11100001010101101…
…000000001001001100
32220001210001200020212
4130022231000021030
5443420022342200
621521041101552
72120324436146
oct341255001114
986053050225
1030244340300
1111910161569
125a409278b8
132b0cba5665
14166ca8dc96
15bc02e1035
hex70ab4024c

30244340300 has 72 divisors (see below), whose sum is σ = 66130048656. Its totient is φ = 12005832960.

The previous prime is 30244340299. The next prime is 30244340303. The reversal of 30244340300 is 304344203.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (30244340303) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 20814374 + ... + 20815826.

It is an arithmetic number, because the mean of its divisors is an integer number (918472898).

Almost surely, 230244340300 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 30244340300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33065024328).

30244340300 is an abundant number, since it is smaller than the sum of its proper divisors (35885708356).

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

30244340300 is a wasteful number, since it uses less digits than its factorization.

30244340300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2907 (or 2900 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

Adding to 30244340300 its reverse (304344203), we get a palindrome (30548684503).

The spelling of 30244340300 in words is "thirty billion, two hundred forty-four million, three hundred forty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 163 326 652 815 1277 1453 1630 2554 2906 3260 4075 5108 5812 6385 7265 8150 12770 14530 16300 25540 29060 31925 36325 63850 72650 127700 145300 208151 236839 416302 473678 832604 947356 1040755 1184195 1855481 2081510 2368390 3710962 4163020 4736780 5203775 5920975 7421924 9277405 10407550 11841950 18554810 20815100 23683900 37109620 46387025 92774050 185548100 302443403 604886806 1209773612 1512217015 3024434030 6048868060 7561085075 15122170150 30244340300