Search a number
-
+
318911120 = 24511418839
BaseRepresentation
bin10011000000100…
…011001010010000
3211020002100210222
4103000203022100
51123120123440
651351212212
710621462013
oct2300431220
9736070728
10318911120
11154020710
128a977068
13510bc708
14304d737a
151cee72b5
hex13023290

318911120 has 80 divisors (see below), whose sum is σ = 828696960. Its totient is φ = 113126400.

The previous prime is 318911101. The next prime is 318911171. The reversal of 318911120 is 21119813.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 318911120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31661 + ... + 40499.

It is an arithmetic number, because the mean of its divisors is an integer number (10358712).

Almost surely, 2318911120 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 318911120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414348480).

318911120 is an abundant number, since it is smaller than the sum of its proper divisors (509785840).

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

318911120 is a wasteful number, since it uses less digits than its factorization.

318911120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8904 (or 8898 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 26.

The square root of 318911120 is about 17858.0827638355. The cubic root of 318911120 is about 683.2136809470.

The spelling of 318911120 in words is "three hundred eighteen million, nine hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 41 44 55 80 82 88 110 164 176 205 220 328 410 440 451 656 820 880 902 1640 1804 2255 3280 3608 4510 7216 8839 9020 17678 18040 35356 36080 44195 70712 88390 97229 141424 176780 194458 353560 362399 388916 486145 707120 724798 777832 972290 1449596 1555664 1811995 1944580 2899192 3623990 3889160 3986389 5798384 7247980 7778320 7972778 14495960 15945556 19931945 28991920 31891112 39863890 63782224 79727780 159455560 318911120