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304426980 = 22325111311827
BaseRepresentation
bin10010001001010…
…010111111100100
3210012211111022100
4102021102333210
51110413130410
650112532100
710354405134
oct2211227744
9705744270
10304426980
11146928550
1285b51030
134b0bab10
142c606ac4
151bad58c0
hex12252fe4

304426980 has 144 divisors (see below), whose sum is σ = 1084958784. Its totient is φ = 68117760.

The previous prime is 304426957. The next prime is 304426981. The reversal of 304426980 is 89624403.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (304426981) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19827 + ... + 31653.

It is an arithmetic number, because the mean of its divisors is an integer number (7534436).

Almost surely, 2304426980 is an apocalyptic number.

304426980 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 304426980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542479392).

304426980 is an abundant number, since it is smaller than the sum of its proper divisors (780531804).

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

304426980 is a wasteful number, since it uses less digits than its factorization.

304426980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11866 (or 11861 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 304426980 is about 17447.8359689676. The cubic root of 304426980 is about 672.7097359021.

The spelling of 304426980 in words is "three hundred four million, four hundred twenty-six thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 13 15 18 20 22 26 30 33 36 39 44 45 52 55 60 65 66 78 90 99 110 117 130 132 143 156 165 180 195 198 220 234 260 286 330 390 396 429 468 495 572 585 660 715 780 858 990 1170 1287 1430 1716 1980 2145 2340 2574 2860 4290 5148 6435 8580 11827 12870 23654 25740 35481 47308 59135 70962 106443 118270 130097 141924 153751 177405 212886 236540 260194 307502 354810 390291 425772 461253 520388 532215 615004 650485 709620 768755 780582 922506 1064430 1170873 1300970 1383759 1537510 1561164 1691261 1845012 1951455 2128860 2306265 2341746 2601940 2767518 3075020 3382522 3902910 4612530 4683492 5073783 5535036 5854365 6765044 6918795 7805820 8456305 9225060 10147566 11708730 13837590 15221349 16912610 20295132 23417460 25368915 27675180 30442698 33825220 50737830 60885396 76106745 101475660 152213490 304426980