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318880980 = 22325116
BaseRepresentation
bin10011000000011…
…011110011010100
3211020000211110200
4103000123303110
51123113142410
651350420500
710621305105
oct2300336324
9736024420
10318880980
11154000000
128a961730
13510aba92
14304ca3ac
151cedd3c0
hex1301bcd4

318880980 has 126 divisors (see below), whose sum is σ = 1063999482. Its totient is φ = 77304480.

The previous prime is 318880963. The next prime is 318880981. The reversal of 318880980 is 89088813.

It can be written as a sum of positive squares in only one way, i.e., 255104784 + 63776196 = 15972^2 + 7986^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (318880981) 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 41 ways as a sum of consecutive naturals, for example, 28989175 + ... + 28989185.

Almost surely, 2318880980 is an apocalyptic number.

318880980 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 318880980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531999741).

318880980 is an abundant number, since it is smaller than the sum of its proper divisors (745118502).

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

318880980 is an frugal number, since it uses more digits than its factorization.

318880980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 318880980 is about 17857.2388683133. The cubic root of 318880980 is about 683.1921569676.

Multiplying 318880980 by its sum of digits (45), we get a square (14349644100 = 1197902).

318880980 divided by its sum of digits (45) gives a square (7086244 = 26622).

The spelling of 318880980 in words is "three hundred eighteen million, eight hundred eighty thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 121 132 165 180 198 220 242 330 363 396 484 495 605 660 726 990 1089 1210 1331 1452 1815 1980 2178 2420 2662 3630 3993 4356 5324 5445 6655 7260 7986 10890 11979 13310 14641 15972 19965 21780 23958 26620 29282 39930 43923 47916 58564 59895 73205 79860 87846 119790 131769 146410 161051 175692 219615 239580 263538 292820 322102 439230 483153 527076 644204 658845 805255 878460 966306 1317690 1449459 1610510 1771561 1932612 2415765 2635380 2898918 3221020 3543122 4831530 5314683 5797836 7086244 7247295 8857805 9663060 10629366 14494590 15944049 17715610 21258732 26573415 28989180 31888098 35431220 53146830 63776196 79720245 106293660 159440490 318880980