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310041342 = 2321317591321
BaseRepresentation
bin10010011110101…
…101101011111110
3210121101201202200
4102132231223332
51113332310332
650433132330
710453210422
oct2236555376
9717351680
10310041342
1114a012716
12879ba0a6
134c305420
142d268b82
151c34417c
hex127adafe

310041342 has 96 divisors (see below), whose sum is σ = 779556960. Its totient is φ = 88197120.

The previous prime is 310041341. The next prime is 310041343. The reversal of 310041342 is 243140013.

310041342 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (310041341) and next prime (310041343).

It is a super-2 number, since 2×3100413422 = 192251267498321928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310041341) 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 47 ways as a sum of consecutive naturals, for example, 234042 + ... + 235362.

It is an arithmetic number, because the mean of its divisors is an integer number (8120385).

Almost surely, 2310041342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 310041342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389778480).

310041342 is an abundant number, since it is smaller than the sum of its proper divisors (469515618).

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

310041342 is a wasteful number, since it uses less digits than its factorization.

310041342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 310041342 is about 17607.9908564265. The cubic root of 310041342 is about 676.8200297335.

Adding to 310041342 its reverse (243140013), we get a palindrome (553181355).

The spelling of 310041342 in words is "three hundred ten million, forty-one thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 59 78 102 117 118 153 177 221 234 306 354 442 531 663 767 1003 1062 1321 1326 1534 1989 2006 2301 2642 3009 3963 3978 4602 6018 6903 7926 9027 11889 13039 13806 17173 18054 22457 23778 26078 34346 39117 44914 51519 67371 77939 78234 103038 117351 134742 154557 155878 202113 233817 234702 291941 309114 404226 467634 583882 701451 875823 1013207 1324963 1402902 1751646 2026414 2627469 2649926 3039621 3974889 5254938 6079242 7949778 9118863 11924667 17224519 18237726 23849334 34449038 51673557 103347114 155020671 310041342