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313304200 = 235211532687
BaseRepresentation
bin10010101011001…
…010010010001000
3210211112111120021
4102223022102020
51120201213300
651031110224
710523020216
oct2253122210
9724474507
10313304200
111509410a0
1288b12374
134cba8601
142d877cb6
151c78ad1a
hex12aca488

313304200 has 96 divisors (see below), whose sum is σ = 809948160. Its totient is φ = 111737600.

The previous prime is 313304179. The next prime is 313304213. The reversal of 313304200 is 2403313.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115257 + ... + 117943.

It is an arithmetic number, because the mean of its divisors is an integer number (8436960).

Almost surely, 2313304200 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 313304200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404974080).

313304200 is an abundant number, since it is smaller than the sum of its proper divisors (496643960).

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

313304200 is a wasteful number, since it uses less digits than its factorization.

313304200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2767 (or 2758 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 313304200 is about 17700.4011253983. The cubic root of 313304200 is about 679.1860214206.

Adding to 313304200 its reverse (2403313), we get a palindrome (315707513).

The spelling of 313304200 in words is "three hundred thirteen million, three hundred four thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 53 55 88 100 106 110 200 212 220 265 275 424 440 530 550 583 1060 1100 1166 1325 2120 2200 2332 2650 2687 2915 4664 5300 5374 5830 10600 10748 11660 13435 14575 21496 23320 26870 29150 29557 53740 58300 59114 67175 107480 116600 118228 134350 142411 147785 236456 268700 284822 295570 537400 569644 591140 712055 738925 1139288 1182280 1424110 1477850 1566521 2848220 2955700 3133042 3560275 5696440 5911400 6266084 7120550 7832605 12532168 14241100 15665210 28482200 31330420 39163025 62660840 78326050 156652100 313304200