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313045236 = 22357139331
BaseRepresentation
bin10010101010001…
…011000011110100
3210211001100100000
4102222023003310
51120114421421
651021351300
710520561220
oct2252130364
9724040300
10313045236
11150784579
1288a08530
134cb1778a
142d80b780
151c739226
hex12a8b0f4

313045236 has 144 divisors (see below), whose sum is σ = 947448320. Its totient is φ = 88529760.

The previous prime is 313045231. The next prime is 313045237. The reversal of 313045236 is 632540313.

It is a happy number.

313045236 is a `hidden beast` number, since 3 + 130 + 4 + 523 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313045231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 945591 + ... + 945921.

Almost surely, 2313045236 is an apocalyptic number.

313045236 is a gapful number since it is divisible by the number (36) 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 313045236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473724160).

313045236 is an abundant number, since it is smaller than the sum of its proper divisors (634403084).

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

313045236 is a wasteful number, since it uses less digits than its factorization.

313045236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 313045236 is about 17693.0844117130. The cubic root of 313045236 is about 678.9988410266.

Adding to 313045236 its reverse (632540313), we get a palindrome (945585549).

The spelling of 313045236 in words is "three hundred thirteen million, forty-five thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 139 162 189 243 252 278 324 331 378 417 486 556 567 662 756 834 972 973 993 1134 1251 1324 1668 1701 1946 1986 2268 2317 2502 2919 2979 3402 3753 3892 3972 4634 5004 5838 5958 6804 6951 7506 8757 8937 9268 11259 11676 11916 13902 15012 17514 17874 20853 22518 26271 26811 27804 33777 35028 35748 41706 45036 46009 52542 53622 62559 67554 78813 80433 83412 92018 105084 107244 125118 135108 138027 157626 160866 184036 187677 236439 250236 276054 315252 321732 322063 375354 414081 472878 552108 563031 644126 750708 828162 945756 966189 1126062 1242243 1288252 1656324 1932378 2252124 2484486 2898567 3726729 3864756 4968972 5797134 7453458 8695701 11180187 11594268 14906916 17391402 22360374 26087103 34782804 44720748 52174206 78261309 104348412 156522618 313045236