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42243345 = 3254012341
BaseRepresentation
bin1010000100100…
…1010100010001
32221111011222100
42201021110101
541303241340
64105231013
71022030304
oct241112421
987434870
1042243345
1121933061
1212192469
1389a0981
145878b3b
153a96830
hex2849511

42243345 has 24 divisors (see below), whose sum is σ = 73435752. Its totient is φ = 22464000.

The previous prime is 42243337. The next prime is 42243349. The reversal of 42243345 is 54334224.

It can be written as a sum of positive squares in 4 ways, for example, as 19289664 + 22953681 = 4392^2 + 4791^2 .

It is not a de Polignac number, because 42243345 - 23 = 42243337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42243349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16875 + ... + 19215.

It is an arithmetic number, because the mean of its divisors is an integer number (3059823).

Almost surely, 242243345 is an apocalyptic number.

42243345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42243345 is a deficient number, since it is larger than the sum of its proper divisors (31192407).

42243345 is a wasteful number, since it uses less digits than its factorization.

42243345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2753 (or 2750 counting only the distinct ones).

The product of its digits is 11520, while the sum is 27.

The square root of 42243345 is about 6499.4880567626. The cubic root of 42243345 is about 348.2727004396.

Adding to 42243345 its reverse (54334224), we get a palindrome (96577569).

It can be divided in two parts, 4224 and 3345, that added together give a square (7569 = 872).

The spelling of 42243345 in words is "forty-two million, two hundred forty-three thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 45 401 1203 2005 2341 3609 6015 7023 11705 18045 21069 35115 105345 938741 2816223 4693705 8448669 14081115 42243345