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345141412 = 2271117292273
BaseRepresentation
bin10100100100100…
…111000010100100
3220001110000000021
4110210213002210
51201324011122
654125324524
711360440120
oct2444470244
9801400007
10345141412
11167906940
1297706744
13566748b5
1433ba4580
15204791c7
hex149270a4

345141412 has 96 divisors (see below), whose sum is σ = 825189120. Its totient is φ = 122142720.

The previous prime is 345141367. The next prime is 345141413. The reversal of 345141412 is 214141543.

It is not an unprimeable number, because it can be changed into a prime (345141413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150708 + ... + 152980.

It is an arithmetic number, because the mean of its divisors is an integer number (8595720).

Almost surely, 2345141412 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 345141412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412594560).

345141412 is an abundant number, since it is smaller than the sum of its proper divisors (480047708).

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

345141412 is a wasteful number, since it uses less digits than its factorization.

345141412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2341 (or 2339 counting only the distinct ones).

The product of its digits is 1920, while the sum is 25.

The square root of 345141412 is about 18577.9819140831. The cubic root of 345141412 is about 701.4537217573.

Adding to 345141412 its reverse (214141543), we get a palindrome (559282955).

The spelling of 345141412 in words is "three hundred forty-five million, one hundred forty-one thousand, four hundred twelve".

Divisors: 1 2 4 7 11 14 17 22 28 29 34 44 58 68 77 116 119 154 187 203 238 308 319 374 406 476 493 638 748 812 986 1276 1309 1972 2233 2273 2618 3451 4466 4546 5236 5423 6902 8932 9092 10846 13804 15911 21692 25003 31822 37961 38641 50006 63644 65917 75922 77282 100012 131834 151844 154564 175021 263668 270487 350042 425051 461419 540974 700084 725087 850102 922838 1081948 1120589 1450174 1700204 1845676 2241178 2900348 2975357 4482356 5075609 5950714 7844123 10151218 11901428 12326479 15688246 20302436 24652958 31376492 49305916 86285353 172570706 345141412