Search a number
-
+
328071780 = 2232517293697
BaseRepresentation
bin10011100011011…
…111101001100100
3211212022202212200
4103203133221210
51132441244110
652315414500
711062364331
oct2343375144
9755282780
10328071780
11159208203
1291a54430
1352c7921a
14317dd988
151dc066c0
hex138dfa64

328071780 has 144 divisors (see below), whose sum is σ = 1090318320. Its totient is φ = 79478784.

The previous prime is 328071773. The next prime is 328071817. The reversal of 328071780 is 87170823.

It can be written as a sum of positive squares in 8 ways, for example, as 7518564 + 320553216 = 2742^2 + 17904^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86892 + ... + 90588.

It is an arithmetic number, because the mean of its divisors is an integer number (7571655).

Almost surely, 2328071780 is an apocalyptic number.

328071780 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 328071780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545159160).

328071780 is an abundant number, since it is smaller than the sum of its proper divisors (762246540).

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

328071780 is a wasteful number, since it uses less digits than its factorization.

328071780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3758 (or 3753 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 328071780 is about 18112.7518616029. The cubic root of 328071780 is about 689.6937519343.

The spelling of 328071780 in words is "three hundred twenty-eight million, seventy-one thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 29 30 34 36 45 51 58 60 68 85 87 90 102 116 145 153 170 174 180 204 255 261 290 306 340 348 435 493 510 522 580 612 765 870 986 1020 1044 1305 1479 1530 1740 1972 2465 2610 2958 3060 3697 4437 4930 5220 5916 7394 7395 8874 9860 11091 14788 14790 17748 18485 22182 22185 29580 33273 36970 44364 44370 55455 62849 66546 73940 88740 107213 110910 125698 133092 166365 188547 214426 221820 251396 314245 321639 332730 377094 428852 536065 565641 628490 643278 665460 754188 942735 964917 1072130 1131282 1256980 1286556 1608195 1822621 1885470 1929834 2144260 2262564 2828205 3216390 3645242 3770940 3859668 4824585 5467863 5656410 6432780 7290484 9113105 9649170 10935726 11312820 16403589 18226210 19298340 21871452 27339315 32807178 36452420 54678630 65614356 82017945 109357260 164035890 328071780