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42351345 = 325432509
BaseRepresentation
bin1010000110001…
…1101011110001
32221200200010100
42201203223301
541320220340
64111423013
71022660211
oct241435361
987620110
1042351345
11219a7213
1212224a69
138a0ab8a
1458a6241
153ab8830
hex2863af1

42351345 has 36 divisors (see below), whose sum is σ = 75303540. Its totient is φ = 22018752.

The previous prime is 42351343. The next prime is 42351359. The reversal of 42351345 is 54315324.

42351345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 25310961 + 17040384 = 5031^2 + 4128^2 .

It is not a de Polignac number, because 42351345 - 21 = 42351343 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42351343) 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 35 ways as a sum of consecutive naturals, for example, 82951 + ... + 83459.

It is an arithmetic number, because the mean of its divisors is an integer number (2091765).

Almost surely, 242351345 is an apocalyptic number.

42351345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42351345 is a deficient number, since it is larger than the sum of its proper divisors (32952195).

42351345 is a wasteful number, since it uses less digits than its factorization.

42351345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 560 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 42351345 is about 6507.7910999048. The cubic root of 42351345 is about 348.5692476844.

Adding to 42351345 its reverse (54315324), we get a palindrome (96666669).

The spelling of 42351345 in words is "forty-two million, three hundred fifty-one thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 43 45 129 215 387 509 645 1527 1849 1935 2545 4581 5547 7635 9245 16641 21887 22905 27735 65661 83205 109435 196983 328305 941141 984915 2823423 4705705 8470269 14117115 42351345