Search a number
-
+
318918912 = 28313171879
BaseRepresentation
bin10011000000100…
…101000100000000
3211020002202111120
4103000211010000
51123120401122
651351312240
710621523514
oct2300450400
9736082446
10318918912
11154026554
128a97b680
13510c3120
14304da144
151cee975c
hex13025100

318918912 has 144 divisors (see below), whose sum is σ = 968365440. Its totient is φ = 92307456.

The previous prime is 318918893. The next prime is 318918931. The reversal of 318918912 is 219819813.

318918912 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (318918893) and next prime (318918931).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168789 + ... + 170667.

It is an arithmetic number, because the mean of its divisors is an integer number (6724760).

Almost surely, 2318918912 is an apocalyptic number.

318918912 is a gapful number since it is divisible by the number (32) 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 318918912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484182720).

318918912 is an abundant number, since it is smaller than the sum of its proper divisors (649446528).

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

318918912 is a wasteful number, since it uses less digits than its factorization.

318918912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928 (or 1914 counting only the distinct ones).

The product of its digits is 31104, while the sum is 42.

The square root of 318918912 is about 17858.3009270199. The cubic root of 318918912 is about 683.2192452535.

Subtracting from 318918912 its reverse (219819813), we obtain a palindrome (99099099).

The spelling of 318918912 in words is "three hundred eighteen million, nine hundred eighteen thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 96 102 104 128 136 156 192 204 208 221 256 272 312 384 408 416 442 544 624 663 768 816 832 884 1088 1248 1326 1632 1664 1768 1879 2176 2496 2652 3264 3328 3536 3758 4352 4992 5304 5637 6528 7072 7516 9984 10608 11274 13056 14144 15032 21216 22548 24427 28288 30064 31943 42432 45096 48854 56576 60128 63886 73281 84864 90192 95829 97708 120256 127772 146562 169728 180384 191658 195416 240512 255544 293124 360768 383316 390832 415259 481024 511088 586248 721536 766632 781664 830518 1022176 1172496 1245777 1443072 1533264 1563328 1661036 2044352 2344992 2491554 3066528 3126656 3322072 4088704 4689984 4983108 6133056 6253312 6644144 8177408 9379968 9966216 12266112 13288288 18759936 19932432 24532224 26576576 39864864 53153152 79729728 106306304 159459456 318918912