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310223424340 = 225293733143281
BaseRepresentation
bin1001000001110101100…
…00011100101101010100
31002122202000002210110001
410200322300130231110
520040314144034330
6354303100341044
731261424412244
oct4407260345524
91078660083401
10310223424340
1110a624043325
1250159244784
132333bbb531b
141102cc23b24
158109ea19ca
hex483ac1cb54

310223424340 has 48 divisors (see below), whose sum is σ = 674118884880. Its totient is φ = 119777495040.

The previous prime is 310223424337. The next prime is 310223424349. The reversal of 310223424340 is 43424322013.

It can be written as a sum of positive squares in 8 ways, for example, as 395373456 + 309828050884 = 19884^2 + 556622^2 .

It is a junction number, because it is equal to n+sod(n) for n = 310223424299 and 310223424308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310223424349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2093500 + ... + 2236780.

It is an arithmetic number, because the mean of its divisors is an integer number (14044143435).

Almost surely, 2310223424340 is an apocalyptic number.

It is an amenable number.

310223424340 is an abundant number, since it is smaller than the sum of its proper divisors (363895460540).

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

310223424340 is a wasteful number, since it uses less digits than its factorization.

310223424340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147052 (or 147050 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 310223424340 its reverse (43424322013), we get a palindrome (353647746353).

The spelling of 310223424340 in words is "three hundred ten billion, two hundred twenty-three million, four hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 3733 7466 14932 18665 37330 74660 108257 143281 216514 286562 433028 541285 573124 716405 1082570 1432810 2165140 2865620 4155149 8310298 16620596 20775745 41551490 83102980 534867973 1069735946 2139471892 2674339865 5348679730 10697359460 15511171217 31022342434 62044684868 77555856085 155111712170 310223424340