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313342344 = 23347371867
BaseRepresentation
bin10010101011010…
…011100110001000
3210211121102220000
4102223103212020
51120203423334
651032003000
710523236350
oct2253234610
9724542800
10313342344
11150967817
1288b30460
134cbbca93
142d887b60
151c797299
hex12ad3988

313342344 has 160 divisors (see below), whose sum is σ = 1030687680. Its totient is φ = 87060096.

The previous prime is 313342343. The next prime is 313342387. The reversal of 313342344 is 443243313.

313342344 is a `hidden beast` number, since 313 + 3 + 4 + 2 + 344 = 666.

313342344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (313342343) 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 39 ways as a sum of consecutive naturals, for example, 166899 + ... + 168765.

It is an arithmetic number, because the mean of its divisors is an integer number (6441798).

Almost surely, 2313342344 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 313342344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515343840).

313342344 is an abundant number, since it is smaller than the sum of its proper divisors (717345336).

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

313342344 is a wasteful number, since it uses less digits than its factorization.

313342344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1929 (or 1916 counting only the distinct ones).

The product of its digits is 10368, while the sum is 27.

The square root of 313342344 is about 17701.4785823106. The cubic root of 313342344 is about 679.2135833665.

Adding to 313342344 its reverse (443243313), we get a palindrome (756585657).

The spelling of 313342344 in words is "three hundred thirteen million, three hundred forty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 37 42 54 56 63 72 74 81 84 108 111 126 148 162 168 189 216 222 252 259 296 324 333 378 444 504 518 567 648 666 756 777 888 999 1036 1134 1332 1512 1554 1867 1998 2072 2268 2331 2664 2997 3108 3734 3996 4536 4662 5601 5994 6216 6993 7468 7992 9324 11202 11988 13069 13986 14936 16803 18648 20979 22404 23976 26138 27972 33606 39207 41958 44808 50409 52276 55944 67212 69079 78414 83916 100818 104552 117621 134424 138158 151227 156828 167832 201636 207237 235242 276316 302454 313656 352863 403272 414474 470484 483553 552632 604908 621711 705726 828948 940968 967106 1058589 1209816 1243422 1411452 1450659 1657896 1865133 1934212 2117178 2486844 2822904 2901318 3730266 3868424 4234356 4351977 4973688 5595399 5802636 7460532 8468712 8703954 11190798 11605272 13055931 14921064 17407908 22381596 26111862 34815816 39167793 44763192 52223724 78335586 104447448 156671172 313342344