Search a number
-
+
317777040 = 24335721017
BaseRepresentation
bin10010111100001…
…110010010010000
3211010221202011000
4102330032102100
51122322331130
651311022000
710606026450
oct2274162220
9733852130
10317777040
11153416659
128a50a900
1350ab3469
14302bdd60
151cd71260
hex12f0e490

317777040 has 160 divisors (see below), whose sum is σ = 1250991360. Its totient is φ = 72631296.

The previous prime is 317777027. The next prime is 317777051. The reversal of 317777040 is 40777713.

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

It is a junction number, because it is equal to n+sod(n) for n = 317776986 and 317777004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4612 + ... + 25628.

It is an arithmetic number, because the mean of its divisors is an integer number (7818696).

Almost surely, 2317777040 is an apocalyptic number.

317777040 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 317777040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625495680).

317777040 is an abundant number, since it is smaller than the sum of its proper divisors (933214320).

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

317777040 is a wasteful number, since it uses less digits than its factorization.

317777040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21046 (or 21034 counting only the distinct ones).

The product of its (nonzero) digits is 28812, while the sum is 36.

The square root of 317777040 is about 17826.3019159892. The cubic root of 317777040 is about 682.4028602238.

The spelling of 317777040 in words is "three hundred seventeen million, seven hundred seventy-seven thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 945 1008 1080 1260 1512 1680 1890 2160 2520 3024 3780 5040 7560 15120 21017 42034 63051 84068 105085 126102 147119 168136 189153 210170 252204 294238 315255 336272 378306 420340 441357 504408 567459 588476 630510 735595 756612 840680 882714 945765 1008816 1134918 1176952 1261020 1324071 1471190 1513224 1681360 1765428 1891530 2206785 2269836 2353904 2522040 2648142 2837295 2942380 3026448 3530856 3783060 3972213 4413570 4539672 5044080 5296284 5674590 5884760 6620355 7061712 7566120 7944426 8827140 9079344 10592568 11349180 11769520 13240710 15132240 15888852 17654280 19861065 21185136 22698360 26481420 31777704 35308560 39722130 45396720 52962840 63555408 79444260 105925680 158888520 317777040