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304314430100 = 2252531972231307
BaseRepresentation
bin1000110110110101000…
…11011011001010010100
31002002111012021210012112
410123122203123022110
514441213443230400
6351444454210152
730662123655632
oct4333243331224
91062435253175
10304314430100
1110807162050a
124ab8a353958
1322909931225
1410a2c144352
157db1343835
hex46da8db294

304314430100 has 144 divisors (see below), whose sum is σ = 679789490688. Its totient is φ = 118199477760.

The previous prime is 304314430097. The next prime is 304314430103. The reversal of 304314430100 is 1034413403.

It is an interprime number because it is at equal distance from previous prime (304314430097) and next prime (304314430103).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304314430103) 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 47 ways as a sum of consecutive naturals, for example, 232833647 + ... + 232834953.

It is an arithmetic number, because the mean of its divisors is an integer number (4720760352).

Almost surely, 2304314430100 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 304314430100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339894745344).

304314430100 is an abundant number, since it is smaller than the sum of its proper divisors (375475060588).

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

304314430100 is a wasteful number, since it uses less digits than its factorization.

304314430100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 304314430100 its reverse (1034413403), we get a palindrome (305348843503).

The spelling of 304314430100 in words is "three hundred four billion, three hundred fourteen million, four hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 197 212 223 265 394 446 530 788 892 985 1060 1115 1307 1325 1970 2230 2614 2650 3940 4460 4925 5228 5300 5575 6535 9850 10441 11150 11819 13070 19700 20882 22300 23638 26140 32675 41764 43931 47276 52205 59095 65350 69271 87862 104410 118190 130700 138542 175724 208820 219655 236380 257479 261025 277084 291461 295475 346355 439310 514958 522050 582922 590950 692710 878620 1029916 1044100 1098275 1165844 1181900 1287395 1385420 1457305 1731775 2196550 2328343 2574790 2914610 3463550 4393100 4656686 5149580 5829220 6436975 6927100 7286525 9313372 11641715 12873950 13646387 14573050 15447433 23283430 25747900 27292774 29146100 30894866 46566860 54585548 57417817 58208575 61789732 68231935 77237165 114835634 116417150 136463870 154474330 229671268 232834300 272927740 287089085 308948660 341159675 386185825 574178170 682319350 772371650 1148356340 1364638700 1435445425 1544743300 2870890850 3043144301 5741781700 6086288602 12172577204 15215721505 30431443010 60862886020 76078607525 152157215050 304314430100