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318471840 = 253251092029
BaseRepresentation
bin10010111110110…
…111111010100000
3211012021001020100
4102332313322200
51123012044330
651333542400
710614652221
oct2276677240
9735231210
10318471840
11153850675
128a7a4a00
1350c9779b
1430421248
151ce5c060
hex12fb7ea0

318471840 has 144 divisors (see below), whose sum is σ = 1097296200. Its totient is φ = 84105216.

The previous prime is 318471833. The next prime is 318471841. The reversal of 318471840 is 48174813.

It can be written as a sum of positive squares in 4 ways, for example, as 318408336 + 63504 = 17844^2 + 252^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 = 318471795 and 318471804.

It is not an unprimeable number, because it can be changed into a prime (318471841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155946 + ... + 157974.

Almost surely, 2318471840 is an apocalyptic number.

318471840 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 318471840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548648100).

318471840 is an abundant number, since it is smaller than the sum of its proper divisors (778824360).

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

318471840 is a wasteful number, since it uses less digits than its factorization.

318471840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2159 (or 2148 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 318471840 is about 17845.7793329403. The cubic root of 318471840 is about 682.8998421873.

The spelling of 318471840 in words is "three hundred eighteen million, four hundred seventy-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 109 120 144 160 180 218 240 288 327 360 436 480 545 654 720 872 981 1090 1308 1440 1635 1744 1962 2029 2180 2616 3270 3488 3924 4058 4360 4905 5232 6087 6540 7848 8116 8720 9810 10145 10464 12174 13080 15696 16232 17440 18261 19620 20290 24348 26160 30435 31392 32464 36522 39240 40580 48696 52320 60870 64928 73044 78480 81160 91305 97392 121740 146088 156960 162320 182610 194784 221161 243480 292176 324640 365220 442322 486960 584352 663483 730440 884644 973920 1105805 1326966 1460880 1769288 1990449 2211610 2653932 2921760 3317415 3538576 3980898 4423220 5307864 6634830 7077152 7961796 8846440 9952245 10615728 13269660 15923592 17692880 19904490 21231456 26539320 31847184 35385760 39808980 53078640 63694368 79617960 106157280 159235920 318471840