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313104344 = 237191032857
BaseRepresentation
bin10010101010011…
…001011111011000
3210211011100102012
4102222121133120
51120123314334
651022525052
710521225440
oct2252313730
9724140365
10313104344
11150814a23
1288a36788
134cb38657
142d825120
151c74b9ce
hex12a997d8

313104344 has 64 divisors (see below), whose sum is σ = 713356800. Its totient is φ = 125846784.

The previous prime is 313104301. The next prime is 313104347. The reversal of 313104344 is 443401313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313104347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108164 + ... + 111020.

It is an arithmetic number, because the mean of its divisors is an integer number (11146200).

Almost surely, 2313104344 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 313104344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356678400).

313104344 is an abundant number, since it is smaller than the sum of its proper divisors (400252456).

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

313104344 is a wasteful number, since it uses less digits than its factorization.

313104344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2992 (or 2988 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 313104344 is about 17694.7547030186. The cubic root of 313104344 is about 679.0415736556.

Adding to 313104344 its reverse (443401313), we get a palindrome (756505657).

The spelling of 313104344 in words is "three hundred thirteen million, one hundred four thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 103 133 152 206 266 412 532 721 824 1064 1442 1957 2857 2884 3914 5714 5768 7828 11428 13699 15656 19999 22856 27398 39998 54283 54796 79996 108566 109592 159992 217132 294271 379981 434264 588542 759962 1177084 1519924 2059897 2354168 3039848 4119794 5591149 8239588 11182298 16479176 22364596 39138043 44729192 78276086 156552172 313104344