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313440246 = 23373773307
BaseRepresentation
bin10010101011101…
…011011111110110
3210211210102012000
4102223223133312
51120220041441
651034040130
710524124650
oct2253533766
9724712160
10313440246
11150a24329
1288b79046
134cc25502
142d8b16d0
151c7b62b6
hex12aeb7f6

313440246 has 128 divisors (see below), whose sum is σ = 831452160. Its totient is φ = 85660416.

The previous prime is 313440217. The next prime is 313440247. The reversal of 313440246 is 642044313.

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 (313440247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1020825 + ... + 1021131.

It is an arithmetic number, because the mean of its divisors is an integer number (6495720).

Almost surely, 2313440246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313440246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415726080).

313440246 is an abundant number, since it is smaller than the sum of its proper divisors (518011914).

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

313440246 is a wasteful number, since it uses less digits than its factorization.

313440246 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 313440246 is about 17704.2437285528. The cubic root of 313440246 is about 679.2843147835.

Adding to 313440246 its reverse (642044313), we get a palindrome (955484559).

The spelling of 313440246 in words is "three hundred thirteen million, four hundred forty thousand, two hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 37 42 54 63 73 74 111 126 146 189 219 222 259 307 333 378 438 511 518 614 657 666 777 921 999 1022 1314 1533 1554 1842 1971 1998 2149 2331 2701 2763 3066 3942 4298 4599 4662 5402 5526 6447 6993 8103 8289 9198 11359 12894 13797 13986 16206 16578 18907 19341 22411 22718 24309 27594 34077 37814 38682 44822 48618 56721 58023 67233 68154 72927 79513 102231 113442 116046 134466 145854 156877 159026 170163 201699 204462 238539 306693 313754 340326 403398 470631 477078 510489 605097 613386 715617 829207 941262 1020978 1210194 1411893 1431234 1658414 2146851 2487621 2823786 4235679 4293702 4975242 5804449 7462863 8471358 11608898 14925726 17413347 22388589 34826694 44777178 52240041 104480082 156720123 313440246